├── LICENSE ├── Makefile ├── README.md ├── primes.txt ├── rsa.c ├── rsa.h └── test.c /LICENSE: -------------------------------------------------------------------------------- 1 | MIT License 2 | 3 | Copyright (c) 2016 Andrew Kiluk 4 | 5 | Permission is hereby granted, free of charge, to any person obtaining a copy 6 | of this software and associated documentation files (the "Software"), to deal 7 | in the Software without restriction, including without limitation the rights 8 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 | copies of the Software, and to permit persons to whom the Software is 10 | furnished to do so, subject to the following conditions: 11 | 12 | The above copyright notice and this permission notice shall be included in all 13 | copies or substantial portions of the Software. 14 | 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE 21 | SOFTWARE. 22 | -------------------------------------------------------------------------------- /Makefile: -------------------------------------------------------------------------------- 1 | CFLAGS = -g -Wall 2 | LDFLAGS = -g 3 | CC = gcc 4 | LIBS_PATH = -L. 5 | LDLIBS = $(LIBS_PATH) -lrsa -lm 6 | 7 | test: test.o librsa.a rsa.h 8 | 9 | librsa.a: rsa.o 10 | ar rc librsa.a rsa.o 11 | ranlib librsa.a 12 | 13 | rsa.o: rsa.c rsa.h 14 | gcc -c rsa.c 15 | 16 | .PHONY: clean, all 17 | 18 | clean: 19 | rm -f *.o a.out rsa.o rsa librsa.a 20 | 21 | all: clean rsa 22 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | RSA-Library 2 | =========== 3 | 4 | This is a C library for RSA encryption. It provides three functions for key generation, encryption, and decryption. 5 | Detailed descriptions of these functions are provided in the header file rsa.h. 6 | 7 | I make no claim that any good encyrption practices are used here. Probably don't use this for any production purposes. 8 | 9 | Created by Andrew Kiluk 10 | -------------------------------------------------------------------------------- /primes.txt: -------------------------------------------------------------------------------- 1 | 10007 2 | 10009 3 | 10037 4 | 10039 5 | 10061 6 | 10067 7 | 10069 8 | 10079 9 | 10091 10 | 10093 11 | 10099 12 | 10103 13 | 10111 14 | 10133 15 | 10139 16 | 10141 17 | 10151 18 | 10159 19 | 10163 20 | 10169 21 | 10177 22 | 10181 23 | 10193 24 | 10211 25 | 10223 26 | 10243 27 | 10247 28 | 10253 29 | 10259 30 | 10267 31 | 10271 32 | 10273 33 | 10289 34 | 10301 35 | 10303 36 | 10313 37 | 10321 38 | 10331 39 | 10333 40 | 10337 41 | 10343 42 | 10357 43 | 10369 44 | 10391 45 | 10399 46 | 10427 47 | 10429 48 | 10433 49 | 10453 50 | 10457 51 | 10459 52 | 10463 53 | 10477 54 | 10487 55 | 10499 56 | 10501 57 | 10513 58 | 10529 59 | 10531 60 | 10559 61 | 10567 62 | 10589 63 | 10597 64 | 10601 65 | 10607 66 | 10613 67 | 10627 68 | 10631 69 | 10639 70 | 10651 71 | 10657 72 | 10663 73 | 10667 74 | 10687 75 | 10691 76 | 10709 77 | 10711 78 | 10723 79 | 10729 80 | 10733 81 | 10739 82 | 10753 83 | 10771 84 | 10781 85 | 10789 86 | 10799 87 | 10831 88 | 10837 89 | 10847 90 | 10853 91 | 10859 92 | 10861 93 | 10867 94 | 10883 95 | 10889 96 | 10891 97 | 10903 98 | 10909 99 | 10937 100 | 10939 101 | 10949 102 | 10957 103 | 10973 104 | 10979 105 | 10987 106 | 10993 107 | 11003 108 | 11027 109 | 11047 110 | 11057 111 | 11059 112 | 11069 113 | 11071 114 | 11083 115 | 11087 116 | 11093 117 | 11113 118 | 11117 119 | 11119 120 | 11131 121 | 11149 122 | 11159 123 | 11161 124 | 11171 125 | 11173 126 | 11177 127 | 11197 128 | 11213 129 | 11239 130 | 11243 131 | 11251 132 | 11257 133 | 11261 134 | 11273 135 | 11279 136 | 11287 137 | 11299 138 | 11311 139 | 11317 140 | 11321 141 | 11329 142 | 11351 143 | 11353 144 | 11369 145 | 11383 146 | 11393 147 | 11399 148 | 11411 149 | 11423 150 | 11437 151 | 11443 152 | 11447 153 | 11467 154 | 11471 155 | 11483 156 | 11489 157 | 11491 158 | 11497 159 | 11503 160 | 11519 161 | 11527 162 | 11549 163 | 11551 164 | 11579 165 | 11587 166 | 11593 167 | 11597 168 | 11617 169 | 11621 170 | 11633 171 | 11657 172 | 11677 173 | 11681 174 | 11689 175 | 11699 176 | 11701 177 | 11717 178 | 11719 179 | 11731 180 | 11743 181 | 11777 182 | 11779 183 | 11783 184 | 11789 185 | 11801 186 | 11807 187 | 11813 188 | 11821 189 | 11827 190 | 11831 191 | 11833 192 | 11839 193 | 11863 194 | 11867 195 | 11887 196 | 11897 197 | 11903 198 | 11909 199 | 11923 200 | 11927 201 | 11933 202 | 11939 203 | 11941 204 | 11953 205 | 11959 206 | 11969 207 | 11971 208 | 11981 209 | 11987 210 | 12007 211 | 12011 212 | 12037 213 | 12041 214 | 12043 215 | 12049 216 | 12071 217 | 12073 218 | 12097 219 | 12101 220 | 12107 221 | 12109 222 | 12113 223 | 12119 224 | 12143 225 | 12149 226 | 12157 227 | 12161 228 | 12163 229 | 12197 230 | 12203 231 | 12211 232 | 12227 233 | 12239 234 | 12241 235 | 12251 236 | 12253 237 | 12263 238 | 12269 239 | 12277 240 | 12281 241 | 12289 242 | 12301 243 | 12323 244 | 12329 245 | 12343 246 | 12347 247 | 12373 248 | 12377 249 | 12379 250 | 12391 251 | 12401 252 | 12409 253 | 12413 254 | 12421 255 | 12433 256 | 12437 257 | 12451 258 | 12457 259 | 12473 260 | 12479 261 | 12487 262 | 12491 263 | 12497 264 | 12503 265 | 12511 266 | 12517 267 | 12527 268 | 12539 269 | 12541 270 | 12547 271 | 12553 272 | 12569 273 | 12577 274 | 12583 275 | 12589 276 | 12601 277 | 12611 278 | 12613 279 | 12619 280 | 12637 281 | 12641 282 | 12647 283 | 12653 284 | 12659 285 | 12671 286 | 12689 287 | 12697 288 | 12703 289 | 12713 290 | 12721 291 | 12739 292 | 12743 293 | 12757 294 | 12763 295 | 12781 296 | 12791 297 | 12799 298 | 12809 299 | 12821 300 | 12823 301 | 12829 302 | 12841 303 | 12853 304 | 12889 305 | 12893 306 | 12899 307 | 12907 308 | 12911 309 | 12917 310 | 12919 311 | 12923 312 | 12941 313 | 12953 314 | 12959 315 | 12967 316 | 12973 317 | 12979 318 | 12983 319 | 13001 320 | 13003 321 | 13007 322 | 13009 323 | 13033 324 | 13037 325 | 13043 326 | 13049 327 | 13063 328 | 13093 329 | 13099 330 | 13103 331 | 13109 332 | 13121 333 | 13127 334 | 13147 335 | 13151 336 | 13159 337 | 13163 338 | 13171 339 | 13177 340 | 13183 341 | 13187 342 | 13217 343 | 13219 344 | 13229 345 | 13241 346 | 13249 347 | 13259 348 | 13267 349 | 13291 350 | 13297 351 | 13309 352 | 13313 353 | 13327 354 | 13331 355 | 13337 356 | 13339 357 | 13367 358 | 13381 359 | 13397 360 | 13399 361 | 13411 362 | 13417 363 | 13421 364 | 13441 365 | 13451 366 | 13457 367 | 13463 368 | 13469 369 | 13477 370 | 13487 371 | 13499 372 | 13513 373 | 13523 374 | 13537 375 | 13553 376 | 13567 377 | 13577 378 | 13591 379 | 13597 380 | 13613 381 | 13619 382 | 13627 383 | 13633 384 | 13649 385 | 13669 386 | 13679 387 | 13681 388 | 13687 389 | 13691 390 | 13693 391 | 13697 392 | 13709 393 | 13711 394 | 13721 395 | 13723 396 | 13729 397 | 13751 398 | 13757 399 | 13759 400 | 13763 401 | 13781 402 | 13789 403 | 13799 404 | 13807 405 | 13829 406 | 13831 407 | 13841 408 | 13859 409 | 13873 410 | 13877 411 | 13879 412 | 13883 413 | 13901 414 | 13903 415 | 13907 416 | 13913 417 | 13921 418 | 13931 419 | 13933 420 | 13963 421 | 13967 422 | 13997 423 | 13999 424 | 14009 425 | 14011 426 | 14029 427 | 14033 428 | 14051 429 | 14057 430 | 14071 431 | 14081 432 | 14083 433 | 14087 434 | 14107 435 | 14143 436 | 14149 437 | 14153 438 | 14159 439 | 14173 440 | 14177 441 | 14197 442 | 14207 443 | 14221 444 | 14243 445 | 14249 446 | 14251 447 | 14281 448 | 14293 449 | 14303 450 | 14321 451 | 14323 452 | 14327 453 | 14341 454 | 14347 455 | 14369 456 | 14387 457 | 14389 458 | 14401 459 | 14407 460 | 14411 461 | 14419 462 | 14423 463 | 14431 464 | 14437 465 | 14447 466 | 14449 467 | 14461 468 | 14479 469 | 14489 470 | 14503 471 | 14519 472 | 14533 473 | 14537 474 | 14543 475 | 14549 476 | 14551 477 | 14557 478 | 14561 479 | 14563 480 | 14591 481 | 14593 482 | 14621 483 | 14627 484 | 14629 485 | 14633 486 | 14639 487 | 14653 488 | 14657 489 | 14669 490 | 14683 491 | 14699 492 | 14713 493 | 14717 494 | 14723 495 | 14731 496 | 14737 497 | 14741 498 | 14747 499 | 14753 500 | 14759 501 | 14767 502 | 14771 503 | 14779 504 | 14783 505 | 14797 506 | 14813 507 | 14821 508 | 14827 509 | 14831 510 | 14843 511 | 14851 512 | 14867 513 | 14869 514 | 14879 515 | 14887 516 | 14891 517 | 14897 518 | 14923 519 | 14929 520 | 14939 521 | 14947 522 | 14951 523 | 14957 524 | 14969 525 | 14983 526 | 15013 527 | 15017 528 | 15031 529 | 15053 530 | 15061 531 | 15073 532 | 15077 533 | 15083 534 | 15091 535 | 15101 536 | 15107 537 | 15121 538 | 15131 539 | 15137 540 | 15139 541 | 15149 542 | 15161 543 | 15173 544 | 15187 545 | 15193 546 | 15199 547 | 15217 548 | 15227 549 | 15233 550 | 15241 551 | 15259 552 | 15263 553 | 15269 554 | 15271 555 | 15277 556 | 15287 557 | 15289 558 | 15299 559 | 15307 560 | 15313 561 | 15319 562 | 15329 563 | 15331 564 | 15349 565 | 15359 566 | 15361 567 | 15373 568 | 15377 569 | 15383 570 | 15391 571 | 15401 572 | 15413 573 | 15427 574 | 15439 575 | 15443 576 | 15451 577 | 15461 578 | 15467 579 | 15473 580 | 15493 581 | 15497 582 | 15511 583 | 15527 584 | 15541 585 | 15551 586 | 15559 587 | 15569 588 | 15581 589 | 15583 590 | 15601 591 | 15607 592 | 15619 593 | 15629 594 | 15641 595 | 15643 596 | 15647 597 | 15649 598 | 15661 599 | 15667 600 | 15671 601 | 15679 602 | 15683 603 | 15727 604 | 15731 605 | 15733 606 | 15737 607 | 15739 608 | 15749 609 | 15761 610 | 15767 611 | 15773 612 | 15787 613 | 15791 614 | 15797 615 | 15803 616 | 15809 617 | 15817 618 | 15823 619 | 15859 620 | 15877 621 | 15881 622 | 15887 623 | 15889 624 | 15901 625 | 15907 626 | 15913 627 | 15919 628 | 15923 629 | 15937 630 | 15959 631 | 15971 632 | 15973 633 | 15991 634 | 16001 635 | 16007 636 | 16033 637 | 16057 638 | 16061 639 | 16063 640 | 16067 641 | 16069 642 | 16073 643 | 16087 644 | 16091 645 | 16097 646 | 16103 647 | 16111 648 | 16127 649 | 16139 650 | 16141 651 | 16183 652 | 16187 653 | 16189 654 | 16193 655 | 16217 656 | 16223 657 | 16229 658 | 16231 659 | 16249 660 | 16253 661 | 16267 662 | 16273 663 | 16301 664 | 16319 665 | 16333 666 | 16339 667 | 16349 668 | 16361 669 | 16363 670 | 16369 671 | 16381 672 | 16411 673 | 16417 674 | 16421 675 | 16427 676 | 16433 677 | 16447 678 | 16451 679 | 16453 680 | 16477 681 | 16481 682 | 16487 683 | 16493 684 | 16519 685 | 16529 686 | 16547 687 | 16553 688 | 16561 689 | 16567 690 | 16573 691 | 16603 692 | 16607 693 | 16619 694 | 16631 695 | 16633 696 | 16649 697 | 16651 698 | 16657 699 | 16661 700 | 16673 701 | 16691 702 | 16693 703 | 16699 704 | 16703 705 | 16729 706 | 16741 707 | 16747 708 | 16759 709 | 16763 710 | 16787 711 | 16811 712 | 16823 713 | 16829 714 | 16831 715 | 16843 716 | 16871 717 | 16879 718 | 16883 719 | 16889 720 | 16901 721 | 16903 722 | 16921 723 | 16927 724 | 16931 725 | 16937 726 | 16943 727 | 16963 728 | 16979 729 | 16981 730 | 16987 731 | 16993 732 | 17011 733 | 17021 734 | 17027 735 | 17029 736 | 17033 737 | 17041 738 | 17047 739 | 17053 740 | 17077 741 | 17093 742 | 17099 743 | 17107 744 | 17117 745 | 17123 746 | 17137 747 | 17159 748 | 17167 749 | 17183 750 | 17189 751 | 17191 752 | 17203 753 | 17207 754 | 17209 755 | 17231 756 | 17239 757 | 17257 758 | 17291 759 | 17293 760 | 17299 761 | 17317 762 | 17321 763 | 17327 764 | 17333 765 | 17341 766 | 17351 767 | 17359 768 | 17377 769 | 17383 770 | 17387 771 | 17389 772 | 17393 773 | 17401 774 | 17417 775 | 17419 776 | 17431 777 | 17443 778 | 17449 779 | 17467 780 | 17471 781 | 17477 782 | 17483 783 | 17489 784 | 17491 785 | 17497 786 | 17509 787 | 17519 788 | 17539 789 | 17551 790 | 17569 791 | 17573 792 | 17579 793 | 17581 794 | 17597 795 | 17599 796 | 17609 797 | 17623 798 | 17627 799 | 17657 800 | 17659 801 | 17669 802 | 17681 803 | 17683 804 | 17707 805 | 17713 806 | 17729 807 | 17737 808 | 17747 809 | 17749 810 | 17761 811 | 17783 812 | 17789 813 | 17791 814 | 17807 815 | 17827 816 | 17837 817 | 17839 818 | 17851 819 | 17863 820 | 17881 821 | 17891 822 | 17903 823 | 17909 824 | 17911 825 | 17921 826 | 17923 827 | 17929 828 | 17939 829 | 17957 830 | 17959 831 | 17971 832 | 17977 833 | 17981 834 | 17987 835 | 17989 836 | 18013 837 | 18041 838 | 18043 839 | 18047 840 | 18049 841 | 18059 842 | 18061 843 | 18077 844 | 18089 845 | 18097 846 | 18119 847 | 18121 848 | 18127 849 | 18131 850 | 18133 851 | 18143 852 | 18149 853 | 18169 854 | 18181 855 | 18191 856 | 18199 857 | 18211 858 | 18217 859 | 18223 860 | 18229 861 | 18233 862 | 18251 863 | 18253 864 | 18257 865 | 18269 866 | 18287 867 | 18289 868 | 18301 869 | 18307 870 | 18311 871 | 18313 872 | 18329 873 | 18341 874 | 18353 875 | 18367 876 | 18371 877 | 18379 878 | 18397 879 | 18401 880 | 18413 881 | 18427 882 | 18433 883 | 18439 884 | 18443 885 | 18451 886 | 18457 887 | 18461 888 | 18481 889 | 18493 890 | 18503 891 | 18517 892 | 18521 893 | 18523 894 | 18539 895 | 18541 896 | 18553 897 | 18583 898 | 18587 899 | 18593 900 | 18617 901 | 18637 902 | 18661 903 | 18671 904 | 18679 905 | 18691 906 | 18701 907 | 18713 908 | 18719 909 | 18731 910 | 18743 911 | 18749 912 | 18757 913 | 18773 914 | 18787 915 | 18793 916 | 18797 917 | 18803 918 | 18839 919 | 18859 920 | 18869 921 | 18899 922 | 18911 923 | 18913 924 | 18917 925 | 18919 926 | 18947 927 | 18959 928 | 18973 929 | 18979 930 | 19001 931 | 19009 932 | 19013 933 | 19031 934 | 19037 935 | 19051 936 | 19069 937 | 19073 938 | 19079 939 | 19081 940 | 19087 941 | 19121 942 | 19139 943 | 19141 944 | 19157 945 | 19163 946 | 19181 947 | 19183 948 | 19207 949 | 19211 950 | 19213 951 | 19219 952 | 19231 953 | 19237 954 | 19249 955 | 19259 956 | 19267 957 | 19273 958 | 19289 959 | 19301 960 | 19309 961 | 19319 962 | 19333 963 | 19373 964 | 19379 965 | 19381 966 | 19387 967 | 19391 968 | 19403 969 | 19417 970 | 19421 971 | 19423 972 | 19427 973 | 19429 974 | 19433 975 | 19441 976 | 19447 977 | 19457 978 | 19463 979 | 19469 980 | 19471 981 | 19477 982 | 19483 983 | 19489 984 | 19501 985 | 19507 986 | 19531 987 | 19541 988 | 19543 989 | 19553 990 | 19559 991 | 19571 992 | 19577 993 | 19583 994 | 19597 995 | 19603 996 | 19609 997 | 19661 998 | 19681 999 | 19687 1000 | 19697 1001 | 19699 1002 | 19709 1003 | 19717 1004 | 19727 1005 | 19739 1006 | 19751 1007 | 19753 1008 | 19759 1009 | 19763 1010 | 19777 1011 | 19793 1012 | 19801 1013 | 19813 1014 | 19819 1015 | 19841 1016 | 19843 1017 | 19853 1018 | 19861 1019 | 19867 1020 | 19889 1021 | 19891 1022 | 19913 1023 | 19919 1024 | 19927 1025 | 19937 1026 | 19949 1027 | 19961 1028 | 19963 1029 | 19973 1030 | 19979 1031 | 19991 1032 | 19993 1033 | 19997 1034 | 20011 1035 | 20021 1036 | 20023 1037 | 20029 1038 | 20047 1039 | 20051 1040 | 20063 1041 | 20071 1042 | 20089 1043 | 20101 1044 | 20107 1045 | 20113 1046 | 20117 1047 | 20123 1048 | 20129 1049 | 20143 1050 | 20147 1051 | 20149 1052 | 20161 1053 | 20173 1054 | 20177 1055 | 20183 1056 | 20201 1057 | 20219 1058 | 20231 1059 | 20233 1060 | 20249 1061 | 20261 1062 | 20269 1063 | 20287 1064 | 20297 1065 | 20323 1066 | 20327 1067 | 20333 1068 | 20341 1069 | 20347 1070 | 20353 1071 | 20357 1072 | 20359 1073 | 20369 1074 | 20389 1075 | 20393 1076 | 20399 1077 | 20407 1078 | 20411 1079 | 20431 1080 | 20441 1081 | 20443 1082 | 20477 1083 | 20479 1084 | 20483 1085 | 20507 1086 | 20509 1087 | 20521 1088 | 20533 1089 | 20543 1090 | 20549 1091 | 20551 1092 | 20563 1093 | 20593 1094 | 20599 1095 | 20611 1096 | 20627 1097 | 20639 1098 | 20641 1099 | 20663 1100 | 20681 1101 | 20693 1102 | 20707 1103 | 20717 1104 | 20719 1105 | 20731 1106 | 20743 1107 | 20747 1108 | 20749 1109 | 20753 1110 | 20759 1111 | 20771 1112 | 20773 1113 | 20789 1114 | 20807 1115 | 20809 1116 | 20849 1117 | 20857 1118 | 20873 1119 | 20879 1120 | 20887 1121 | 20897 1122 | 20899 1123 | 20903 1124 | 20921 1125 | 20929 1126 | 20939 1127 | 20947 1128 | 20959 1129 | 20963 1130 | 20981 1131 | 20983 1132 | 21001 1133 | 21011 1134 | 21013 1135 | 21017 1136 | 21019 1137 | 21023 1138 | 21031 1139 | 21059 1140 | 21061 1141 | 21067 1142 | 21089 1143 | 21101 1144 | 21107 1145 | 21121 1146 | 21139 1147 | 21143 1148 | 21149 1149 | 21157 1150 | 21163 1151 | 21169 1152 | 21179 1153 | 21187 1154 | 21191 1155 | 21193 1156 | 21211 1157 | 21221 1158 | 21227 1159 | 21247 1160 | 21269 1161 | 21277 1162 | 21283 1163 | 21313 1164 | 21317 1165 | 21319 1166 | 21323 1167 | 21341 1168 | 21347 1169 | 21377 1170 | 21379 1171 | 21383 1172 | 21391 1173 | 21397 1174 | 21401 1175 | 21407 1176 | 21419 1177 | 21433 1178 | 21467 1179 | 21481 1180 | 21487 1181 | 21491 1182 | 21493 1183 | 21499 1184 | 21503 1185 | 21517 1186 | 21521 1187 | 21523 1188 | 21529 1189 | 21557 1190 | 21559 1191 | 21563 1192 | 21569 1193 | 21577 1194 | 21587 1195 | 21589 1196 | 21599 1197 | 21601 1198 | 21611 1199 | 21613 1200 | 21617 1201 | 21647 1202 | 21649 1203 | 21661 1204 | 21673 1205 | 21683 1206 | 21701 1207 | 21713 1208 | 21727 1209 | 21737 1210 | 21739 1211 | 21751 1212 | 21757 1213 | 21767 1214 | 21773 1215 | 21787 1216 | 21799 1217 | 21803 1218 | 21817 1219 | 21821 1220 | 21839 1221 | 21841 1222 | 21851 1223 | 21859 1224 | 21863 1225 | 21871 1226 | 21881 1227 | 21893 1228 | 21911 1229 | 21929 1230 | 21937 1231 | 21943 1232 | 21961 1233 | 21977 1234 | 21991 1235 | 21997 1236 | 22003 1237 | 22013 1238 | 22027 1239 | 22031 1240 | 22037 1241 | 22039 1242 | 22051 1243 | 22063 1244 | 22067 1245 | 22073 1246 | 22079 1247 | 22091 1248 | 22093 1249 | 22109 1250 | 22111 1251 | 22123 1252 | 22129 1253 | 22133 1254 | 22147 1255 | 22153 1256 | 22157 1257 | 22159 1258 | 22171 1259 | 22189 1260 | 22193 1261 | 22229 1262 | 22247 1263 | 22259 1264 | 22271 1265 | 22273 1266 | 22277 1267 | 22279 1268 | 22283 1269 | 22291 1270 | 22303 1271 | 22307 1272 | 22343 1273 | 22349 1274 | 22367 1275 | 22369 1276 | 22381 1277 | 22391 1278 | 22397 1279 | 22409 1280 | 22433 1281 | 22441 1282 | 22447 1283 | 22453 1284 | 22469 1285 | 22481 1286 | 22483 1287 | 22501 1288 | 22511 1289 | 22531 1290 | 22541 1291 | 22543 1292 | 22549 1293 | 22567 1294 | 22571 1295 | 22573 1296 | 22613 1297 | 22619 1298 | 22621 1299 | 22637 1300 | 22639 1301 | 22643 1302 | 22651 1303 | 22669 1304 | 22679 1305 | 22691 1306 | 22697 1307 | 22699 1308 | 22709 1309 | 22717 1310 | 22721 1311 | 22727 1312 | 22739 1313 | 22741 1314 | 22751 1315 | 22769 1316 | 22777 1317 | 22783 1318 | 22787 1319 | 22807 1320 | 22811 1321 | 22817 1322 | 22853 1323 | 22859 1324 | 22861 1325 | 22871 1326 | 22877 1327 | 22901 1328 | 22907 1329 | 22921 1330 | 22937 1331 | 22943 1332 | 22961 1333 | 22963 1334 | 22973 1335 | 22993 1336 | 23003 1337 | 23011 1338 | 23017 1339 | 23021 1340 | 23027 1341 | 23029 1342 | 23039 1343 | 23041 1344 | 23053 1345 | 23057 1346 | 23059 1347 | 23063 1348 | 23071 1349 | 23081 1350 | 23087 1351 | 23099 1352 | 23117 1353 | 23131 1354 | 23143 1355 | 23159 1356 | 23167 1357 | 23173 1358 | 23189 1359 | 23197 1360 | 23201 1361 | 23203 1362 | 23209 1363 | 23227 1364 | 23251 1365 | 23269 1366 | 23279 1367 | 23291 1368 | 23293 1369 | 23297 1370 | 23311 1371 | 23321 1372 | 23327 1373 | 23333 1374 | 23339 1375 | 23357 1376 | 23369 1377 | 23371 1378 | 23399 1379 | 23417 1380 | 23431 1381 | 23447 1382 | 23459 1383 | 23473 1384 | 23497 1385 | 23509 1386 | 23531 1387 | 23537 1388 | 23539 1389 | 23549 1390 | 23557 1391 | 23561 1392 | 23563 1393 | 23567 1394 | 23581 1395 | 23593 1396 | 23599 1397 | 23603 1398 | 23609 1399 | 23623 1400 | 23627 1401 | 23629 1402 | 23633 1403 | 23663 1404 | 23669 1405 | 23671 1406 | 23677 1407 | 23687 1408 | 23689 1409 | 23719 1410 | 23741 1411 | 23743 1412 | 23747 1413 | 23753 1414 | 23761 1415 | 23767 1416 | 23773 1417 | 23789 1418 | 23801 1419 | 23813 1420 | 23819 1421 | 23827 1422 | 23831 1423 | 23833 1424 | 23857 1425 | 23869 1426 | 23873 1427 | 23879 1428 | 23887 1429 | 23893 1430 | 23899 1431 | 23909 1432 | 23911 1433 | 23917 1434 | 23929 1435 | 23957 1436 | 23971 1437 | 23977 1438 | 23981 1439 | 23993 1440 | 24001 1441 | 24007 1442 | 24019 1443 | 24023 1444 | 24029 1445 | 24043 1446 | 24049 1447 | 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32117 2218 | 32119 2219 | 32141 2220 | 32143 2221 | 32159 2222 | 32173 2223 | 32183 2224 | 32189 2225 | 32191 2226 | 32203 2227 | 32213 2228 | 32233 2229 | 32237 2230 | 32251 2231 | 32257 2232 | 32261 2233 | 32297 2234 | 32299 2235 | 32303 2236 | 32309 2237 | 32321 2238 | 32323 2239 | 32327 2240 | 32341 2241 | 32353 2242 | 32359 2243 | 32363 2244 | 32369 2245 | 32371 2246 | 32377 2247 | 32381 2248 | 32401 2249 | 32411 2250 | 32413 2251 | 32423 2252 | 32429 2253 | 32441 2254 | 32443 2255 | 32467 2256 | 32479 2257 | 32491 2258 | 32497 2259 | 32503 2260 | 32507 2261 | 32531 2262 | 32533 2263 | 32537 2264 | 32561 2265 | 32563 2266 | 32569 2267 | 32573 2268 | 32579 2269 | 32587 2270 | 32603 2271 | 32609 2272 | 32611 2273 | 32621 2274 | 32633 2275 | 32647 2276 | 32653 2277 | 32687 2278 | 32693 2279 | 32707 2280 | 32713 2281 | 32717 2282 | 32719 2283 | 32749 2284 | 32771 2285 | 32779 2286 | 32783 2287 | 32789 2288 | 32797 2289 | 32801 2290 | 32803 2291 | 32831 2292 | 32833 2293 | 32839 2294 | 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33613 2372 | 33617 2373 | 33619 2374 | 33623 2375 | 33629 2376 | 33637 2377 | 33641 2378 | 33647 2379 | 33679 2380 | 33703 2381 | 33713 2382 | 33721 2383 | 33739 2384 | 33749 2385 | 33751 2386 | 33757 2387 | 33767 2388 | 33769 2389 | 33773 2390 | 33791 2391 | 33797 2392 | 33809 2393 | 33811 2394 | 33827 2395 | 33829 2396 | 33851 2397 | 33857 2398 | 33863 2399 | 33871 2400 | 33889 2401 | 33893 2402 | 33911 2403 | 33923 2404 | 33931 2405 | 33937 2406 | 33941 2407 | 33961 2408 | 33967 2409 | 33997 2410 | 34019 2411 | 34031 2412 | 34033 2413 | 34039 2414 | 34057 2415 | 34061 2416 | 34123 2417 | 34127 2418 | 34129 2419 | 34141 2420 | 34147 2421 | 34157 2422 | 34159 2423 | 34171 2424 | 34183 2425 | 34211 2426 | 34213 2427 | 34217 2428 | 34231 2429 | 34253 2430 | 34259 2431 | 34261 2432 | 34267 2433 | 34273 2434 | 34283 2435 | 34297 2436 | 34301 2437 | 34303 2438 | 34313 2439 | 34319 2440 | 34327 2441 | 34337 2442 | 34351 2443 | 34361 2444 | 34367 2445 | 34369 2446 | 34381 2447 | 34403 2448 | 34421 2449 | 34429 2450 | 34439 2451 | 34457 2452 | 34469 2453 | 34471 2454 | 34483 2455 | 34487 2456 | 34499 2457 | 34501 2458 | 34511 2459 | 34513 2460 | 34519 2461 | 34537 2462 | 34543 2463 | 34549 2464 | 34583 2465 | 34589 2466 | 34591 2467 | 34603 2468 | 34607 2469 | 34613 2470 | 34631 2471 | 34649 2472 | 34651 2473 | 34667 2474 | 34673 2475 | 34679 2476 | 34687 2477 | 34693 2478 | 34703 2479 | 34721 2480 | 34729 2481 | 34739 2482 | 34747 2483 | 34757 2484 | 34759 2485 | 34763 2486 | 34781 2487 | 34807 2488 | 34819 2489 | 34841 2490 | 34843 2491 | 34847 2492 | 34849 2493 | 34871 2494 | 34877 2495 | 34883 2496 | 34897 2497 | 34913 2498 | 34919 2499 | 34939 2500 | 34949 2501 | 34961 2502 | 34963 2503 | 34981 2504 | 35023 2505 | 35027 2506 | 35051 2507 | 35053 2508 | 35059 2509 | 35069 2510 | 35081 2511 | 35083 2512 | 35089 2513 | 35099 2514 | 35107 2515 | 35111 2516 | 35117 2517 | 35129 2518 | 35141 2519 | 35149 2520 | 35153 2521 | 35159 2522 | 35171 2523 | 35201 2524 | 35221 2525 | 35227 2526 | 35251 2527 | 35257 2528 | 35267 2529 | 35279 2530 | 35281 2531 | 35291 2532 | 35311 2533 | 35317 2534 | 35323 2535 | 35327 2536 | 35339 2537 | 35353 2538 | 35363 2539 | 35381 2540 | 35393 2541 | 35401 2542 | 35407 2543 | 35419 2544 | 35423 2545 | 35437 2546 | 35447 2547 | 35449 2548 | 35461 2549 | 35491 2550 | 35507 2551 | 35509 2552 | 35521 2553 | 35527 2554 | 35531 2555 | 35533 2556 | 35537 2557 | 35543 2558 | 35569 2559 | 35573 2560 | 35591 2561 | 35593 2562 | 35597 2563 | 35603 2564 | 35617 2565 | 35671 2566 | 35677 2567 | 35729 2568 | 35731 2569 | 35747 2570 | 35753 2571 | 35759 2572 | 35771 2573 | 35797 2574 | 35801 2575 | 35803 2576 | 35809 2577 | 35831 2578 | 35837 2579 | 35839 2580 | 35851 2581 | 35863 2582 | 35869 2583 | 35879 2584 | 35897 2585 | 35899 2586 | 35911 2587 | 35923 2588 | 35933 2589 | 35951 2590 | 35963 2591 | 35969 2592 | 35977 2593 | 35983 2594 | 35993 2595 | 35999 2596 | 36007 2597 | 36011 2598 | 36013 2599 | 36017 2600 | 36037 2601 | 36061 2602 | 36067 2603 | 36073 2604 | 36083 2605 | 36097 2606 | 36107 2607 | 36109 2608 | 36131 2609 | 36137 2610 | 36151 2611 | 36161 2612 | 36187 2613 | 36191 2614 | 36209 2615 | 36217 2616 | 36229 2617 | 36241 2618 | 36251 2619 | 36263 2620 | 36269 2621 | 36277 2622 | 36293 2623 | 36299 2624 | 36307 2625 | 36313 2626 | 36319 2627 | 36341 2628 | 36343 2629 | 36353 2630 | 36373 2631 | 36383 2632 | 36389 2633 | 36433 2634 | 36451 2635 | 36457 2636 | 36467 2637 | 36469 2638 | 36473 2639 | 36479 2640 | 36493 2641 | 36497 2642 | 36523 2643 | 36527 2644 | 36529 2645 | 36541 2646 | 36551 2647 | 36559 2648 | 36563 2649 | 36571 2650 | 36583 2651 | 36587 2652 | 36599 2653 | 36607 2654 | 36629 2655 | 36637 2656 | 36643 2657 | 36653 2658 | 36671 2659 | 36677 2660 | 36683 2661 | 36691 2662 | 36697 2663 | 36709 2664 | 36713 2665 | 36721 2666 | 36739 2667 | 36749 2668 | 36761 2669 | 36767 2670 | 36779 2671 | 36781 2672 | 36787 2673 | 36791 2674 | 36793 2675 | 36809 2676 | 36821 2677 | 36833 2678 | 36847 2679 | 36857 2680 | 36871 2681 | 36877 2682 | 36887 2683 | 36899 2684 | 36901 2685 | 36913 2686 | 36919 2687 | 36923 2688 | 36929 2689 | 36931 2690 | 36943 2691 | 36947 2692 | 36973 2693 | 36979 2694 | 36997 2695 | 37003 2696 | 37013 2697 | 37019 2698 | 37021 2699 | 37039 2700 | 37049 2701 | 37057 2702 | 37061 2703 | 37087 2704 | 37097 2705 | 37117 2706 | 37123 2707 | 37139 2708 | 37159 2709 | 37171 2710 | 37181 2711 | 37189 2712 | 37199 2713 | 37201 2714 | 37217 2715 | 37223 2716 | 37243 2717 | 37253 2718 | 37273 2719 | 37277 2720 | 37307 2721 | 37309 2722 | 37313 2723 | 37321 2724 | 37337 2725 | 37339 2726 | 37357 2727 | 37361 2728 | 37363 2729 | 37369 2730 | 37379 2731 | 37397 2732 | 37409 2733 | 37423 2734 | 37441 2735 | 37447 2736 | 37463 2737 | 37483 2738 | 37489 2739 | 37493 2740 | 37501 2741 | 37507 2742 | 37511 2743 | 37517 2744 | 37529 2745 | 37537 2746 | 37547 2747 | 37549 2748 | 37561 2749 | 37567 2750 | 37571 2751 | 37573 2752 | 37579 2753 | 37589 2754 | 37591 2755 | 37607 2756 | 37619 2757 | 37633 2758 | 37643 2759 | 37649 2760 | 37657 2761 | 37663 2762 | 37691 2763 | 37693 2764 | 37699 2765 | 37717 2766 | 37747 2767 | 37781 2768 | 37783 2769 | 37799 2770 | 37811 2771 | 37813 2772 | 37831 2773 | 37847 2774 | 37853 2775 | 37861 2776 | 37871 2777 | 37879 2778 | 37889 2779 | 37897 2780 | 37907 2781 | 37951 2782 | 37957 2783 | 37963 2784 | 37967 2785 | 37987 2786 | 37991 2787 | 37993 2788 | 37997 2789 | 38011 2790 | 38039 2791 | 38047 2792 | 38053 2793 | 38069 2794 | 38083 2795 | 38113 2796 | 38119 2797 | 38149 2798 | 38153 2799 | 38167 2800 | 38177 2801 | 38183 2802 | 38189 2803 | 38197 2804 | 38201 2805 | 38219 2806 | 38231 2807 | 38237 2808 | 38239 2809 | 38261 2810 | 38273 2811 | 38281 2812 | 38287 2813 | 38299 2814 | 38303 2815 | 38317 2816 | 38321 2817 | 38327 2818 | 38329 2819 | 38333 2820 | 38351 2821 | 38371 2822 | 38377 2823 | 38393 2824 | 38431 2825 | 38447 2826 | 38449 2827 | 38453 2828 | 38459 2829 | 38461 2830 | 38501 2831 | 38543 2832 | 38557 2833 | 38561 2834 | 38567 2835 | 38569 2836 | 38593 2837 | 38603 2838 | 38609 2839 | 38611 2840 | 38629 2841 | 38639 2842 | 38651 2843 | 38653 2844 | 38669 2845 | 38671 2846 | 38677 2847 | 38693 2848 | 38699 2849 | 38707 2850 | 38711 2851 | 38713 2852 | 38723 2853 | 38729 2854 | 38737 2855 | 38747 2856 | 38749 2857 | 38767 2858 | 38783 2859 | 38791 2860 | 38803 2861 | 38821 2862 | 38833 2863 | 38839 2864 | 38851 2865 | 38861 2866 | 38867 2867 | 38873 2868 | 38891 2869 | 38903 2870 | 38917 2871 | 38921 2872 | 38923 2873 | 38933 2874 | 38953 2875 | 38959 2876 | 38971 2877 | 38977 2878 | 38993 2879 | 39019 2880 | 39023 2881 | 39041 2882 | 39043 2883 | 39047 2884 | 39079 2885 | 39089 2886 | 39097 2887 | 39103 2888 | 39107 2889 | 39113 2890 | 39119 2891 | 39133 2892 | 39139 2893 | 39157 2894 | 39161 2895 | 39163 2896 | 39181 2897 | 39191 2898 | 39199 2899 | 39209 2900 | 39217 2901 | 39227 2902 | 39229 2903 | 39233 2904 | 39239 2905 | 39241 2906 | 39251 2907 | 39293 2908 | 39301 2909 | 39313 2910 | 39317 2911 | 39323 2912 | 39341 2913 | 39343 2914 | 39359 2915 | 39367 2916 | 39371 2917 | 39373 2918 | 39383 2919 | 39397 2920 | 39409 2921 | 39419 2922 | 39439 2923 | 39443 2924 | 39451 2925 | 39461 2926 | 39499 2927 | 39503 2928 | 39509 2929 | 39511 2930 | 39521 2931 | 39541 2932 | 39551 2933 | 39563 2934 | 39569 2935 | 39581 2936 | 39607 2937 | 39619 2938 | 39623 2939 | 39631 2940 | 39659 2941 | 39667 2942 | 39671 2943 | 39679 2944 | 39703 2945 | 39709 2946 | 39719 2947 | 39727 2948 | 39733 2949 | 39749 2950 | 39761 2951 | 39769 2952 | 39779 2953 | 39791 2954 | 39799 2955 | 39821 2956 | 39827 2957 | 39829 2958 | 39839 2959 | 39841 2960 | 39847 2961 | 39857 2962 | 39863 2963 | 39869 2964 | 39877 2965 | 39883 2966 | 39887 2967 | 39901 2968 | 39929 2969 | 39937 2970 | 39953 2971 | 39971 2972 | 39979 2973 | 39983 2974 | 39989 2975 | 40009 2976 | 40013 2977 | 40031 2978 | 40037 2979 | 40039 2980 | 40063 2981 | 40087 2982 | 40093 2983 | 40099 2984 | 40111 2985 | 40123 2986 | 40127 2987 | 40129 2988 | 40151 2989 | 40153 2990 | 40163 2991 | 40169 2992 | 40177 2993 | 40189 2994 | 40193 2995 | 40213 2996 | 40231 2997 | 40237 2998 | 40241 2999 | 40253 3000 | 40277 3001 | 40283 3002 | 40289 3003 | 40343 3004 | 40351 3005 | 40357 3006 | 40361 3007 | 40387 3008 | 40423 3009 | 40427 3010 | 40429 3011 | 40433 3012 | 40459 3013 | 40471 3014 | 40483 3015 | 40487 3016 | 40493 3017 | 40499 3018 | 40507 3019 | 40519 3020 | 40529 3021 | 40531 3022 | 40543 3023 | 40559 3024 | 40577 3025 | 40583 3026 | 40591 3027 | 40597 3028 | 40609 3029 | 40627 3030 | 40637 3031 | 40639 3032 | 40693 3033 | 40697 3034 | 40699 3035 | 40709 3036 | 40739 3037 | 40751 3038 | 40759 3039 | 40763 3040 | 40771 3041 | 40787 3042 | 40801 3043 | 40813 3044 | 40819 3045 | 40823 3046 | 40829 3047 | 40841 3048 | 40847 3049 | 40849 3050 | 40853 3051 | 40867 3052 | 40879 3053 | 40883 3054 | 40897 3055 | 40903 3056 | 40927 3057 | 40933 3058 | 40939 3059 | 40949 3060 | 40961 3061 | 40973 3062 | 40993 3063 | 41011 3064 | 41017 3065 | 41023 3066 | 41039 3067 | 41047 3068 | 41051 3069 | 41057 3070 | 41077 3071 | 41081 3072 | 41113 3073 | 41117 3074 | 41131 3075 | 41141 3076 | 41143 3077 | 41149 3078 | 41161 3079 | 41177 3080 | 41179 3081 | 41183 3082 | 41189 3083 | 41201 3084 | 41203 3085 | 41213 3086 | 41221 3087 | 41227 3088 | 41231 3089 | 41233 3090 | 41243 3091 | 41257 3092 | 41263 3093 | 41269 3094 | 41281 3095 | 41299 3096 | 41333 3097 | 41341 3098 | 41351 3099 | 41357 3100 | 41381 3101 | 41387 3102 | 41389 3103 | 41399 3104 | 41411 3105 | 41413 3106 | 41443 3107 | 41453 3108 | 41467 3109 | 41479 3110 | 41491 3111 | 41507 3112 | 41513 3113 | 41519 3114 | 41521 3115 | 41539 3116 | 41543 3117 | 41549 3118 | 41579 3119 | 41593 3120 | 41597 3121 | 41603 3122 | 41609 3123 | 41611 3124 | 41617 3125 | 41621 3126 | 41627 3127 | 41641 3128 | 41647 3129 | 41651 3130 | 41659 3131 | 41669 3132 | 41681 3133 | 41687 3134 | 41719 3135 | 41729 3136 | 41737 3137 | 41759 3138 | 41761 3139 | 41771 3140 | 41777 3141 | 41801 3142 | 41809 3143 | 41813 3144 | 41843 3145 | 41849 3146 | 41851 3147 | 41863 3148 | 41879 3149 | 41887 3150 | 41893 3151 | 41897 3152 | 41903 3153 | 41911 3154 | 41927 3155 | 41941 3156 | 41947 3157 | 41953 3158 | 41957 3159 | 41959 3160 | 41969 3161 | 41981 3162 | 41983 3163 | 41999 3164 | 42013 3165 | 42017 3166 | 42019 3167 | 42023 3168 | 42043 3169 | 42061 3170 | 42071 3171 | 42073 3172 | 42083 3173 | 42089 3174 | 42101 3175 | 42131 3176 | 42139 3177 | 42157 3178 | 42169 3179 | 42179 3180 | 42181 3181 | 42187 3182 | 42193 3183 | 42197 3184 | 42209 3185 | 42221 3186 | 42223 3187 | 42227 3188 | 42239 3189 | 42257 3190 | 42281 3191 | 42283 3192 | 42293 3193 | 42299 3194 | 42307 3195 | 42323 3196 | 42331 3197 | 42337 3198 | 42349 3199 | 42359 3200 | 42373 3201 | 42379 3202 | 42391 3203 | 42397 3204 | 42403 3205 | 42407 3206 | 42409 3207 | 42433 3208 | 42437 3209 | 42443 3210 | 42451 3211 | 42457 3212 | 42461 3213 | 42463 3214 | 42467 3215 | 42473 3216 | 42487 3217 | 42491 3218 | 42499 3219 | 42509 3220 | 42533 3221 | 42557 3222 | 42569 3223 | 42571 3224 | 42577 3225 | 42589 3226 | 42611 3227 | 42641 3228 | 42643 3229 | 42649 3230 | 42667 3231 | 42677 3232 | 42683 3233 | 42689 3234 | 42697 3235 | 42701 3236 | 42703 3237 | 42709 3238 | 42719 3239 | 42727 3240 | 42737 3241 | 42743 3242 | 42751 3243 | 42767 3244 | 42773 3245 | 42787 3246 | 42793 3247 | 42797 3248 | 42821 3249 | 42829 3250 | 42839 3251 | 42841 3252 | 42853 3253 | 42859 3254 | 42863 3255 | 42899 3256 | 42901 3257 | 42923 3258 | 42929 3259 | 42937 3260 | 42943 3261 | 42953 3262 | 42961 3263 | 42967 3264 | 42979 3265 | 42989 3266 | 43003 3267 | 43013 3268 | 43019 3269 | 43037 3270 | 43049 3271 | 43051 3272 | 43063 3273 | 43067 3274 | 43093 3275 | 43103 3276 | 43117 3277 | 43133 3278 | 43151 3279 | 43159 3280 | 43177 3281 | 43189 3282 | 43201 3283 | 43207 3284 | 43223 3285 | 43237 3286 | 43261 3287 | 43271 3288 | 43283 3289 | 43291 3290 | 43313 3291 | 43319 3292 | 43321 3293 | 43331 3294 | 43391 3295 | 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44203 3373 | 44207 3374 | 44221 3375 | 44249 3376 | 44257 3377 | 44263 3378 | 44267 3379 | 44269 3380 | 44273 3381 | 44279 3382 | 44281 3383 | 44293 3384 | 44351 3385 | 44357 3386 | 44371 3387 | 44381 3388 | 44383 3389 | 44389 3390 | 44417 3391 | 44449 3392 | 44453 3393 | 44483 3394 | 44491 3395 | 44497 3396 | 44501 3397 | 44507 3398 | 44519 3399 | 44531 3400 | 44533 3401 | 44537 3402 | 44543 3403 | 44549 3404 | 44563 3405 | 44579 3406 | 44587 3407 | 44617 3408 | 44621 3409 | 44623 3410 | 44633 3411 | 44641 3412 | 44647 3413 | 44651 3414 | 44657 3415 | 44683 3416 | 44687 3417 | 44699 3418 | 44701 3419 | 44711 3420 | 44729 3421 | 44741 3422 | 44753 3423 | 44771 3424 | 44773 3425 | 44777 3426 | 44789 3427 | 44797 3428 | 44809 3429 | 44819 3430 | 44839 3431 | 44843 3432 | 44851 3433 | 44867 3434 | 44879 3435 | 44887 3436 | 44893 3437 | 44909 3438 | 44917 3439 | 44927 3440 | 44939 3441 | 44953 3442 | 44959 3443 | 44963 3444 | 44971 3445 | 44983 3446 | 44987 3447 | 45007 3448 | 45013 3449 | 45053 3450 | 45061 3451 | 45077 3452 | 45083 3453 | 45119 3454 | 45121 3455 | 45127 3456 | 45131 3457 | 45137 3458 | 45139 3459 | 45161 3460 | 45179 3461 | 45181 3462 | 45191 3463 | 45197 3464 | 45233 3465 | 45247 3466 | 45259 3467 | 45263 3468 | 45281 3469 | 45289 3470 | 45293 3471 | 45307 3472 | 45317 3473 | 45319 3474 | 45329 3475 | 45337 3476 | 45341 3477 | 45343 3478 | 45361 3479 | 45377 3480 | 45389 3481 | 45403 3482 | 45413 3483 | 45427 3484 | 45433 3485 | 45439 3486 | 45481 3487 | 45491 3488 | 45497 3489 | 45503 3490 | 45523 3491 | 45533 3492 | 45541 3493 | 45553 3494 | 45557 3495 | 45569 3496 | 45587 3497 | 45589 3498 | 45599 3499 | 45613 3500 | 45631 3501 | 45641 3502 | 45659 3503 | 45667 3504 | 45673 3505 | 45677 3506 | 45691 3507 | 45697 3508 | 45707 3509 | 45737 3510 | 45751 3511 | 45757 3512 | 45763 3513 | 45767 3514 | 45779 3515 | 45817 3516 | 45821 3517 | 45823 3518 | 45827 3519 | 45833 3520 | 45841 3521 | 45853 3522 | 45863 3523 | 45869 3524 | 45887 3525 | 45893 3526 | 45943 3527 | 45949 3528 | 45953 3529 | 45959 3530 | 45971 3531 | 45979 3532 | 45989 3533 | 46021 3534 | 46027 3535 | 46049 3536 | 46051 3537 | 46061 3538 | 46073 3539 | 46091 3540 | 46093 3541 | 46099 3542 | 46103 3543 | 46133 3544 | 46141 3545 | 46147 3546 | 46153 3547 | 46171 3548 | 46181 3549 | 46183 3550 | 46187 3551 | 46199 3552 | 46219 3553 | 46229 3554 | 46237 3555 | 46261 3556 | 46271 3557 | 46273 3558 | 46279 3559 | 46301 3560 | 46307 3561 | 46309 3562 | 46327 3563 | 46337 3564 | 46349 3565 | 46351 3566 | 46381 3567 | 46399 3568 | 46411 3569 | 46439 3570 | 46441 3571 | 46447 3572 | 46451 3573 | 46457 3574 | 46471 3575 | 46477 3576 | 46489 3577 | 46499 3578 | 46507 3579 | 46511 3580 | 46523 3581 | 46549 3582 | 46559 3583 | 46567 3584 | 46573 3585 | 46589 3586 | 46591 3587 | 46601 3588 | 46619 3589 | 46633 3590 | 46639 3591 | 46643 3592 | 46649 3593 | 46663 3594 | 46679 3595 | 46681 3596 | 46687 3597 | 46691 3598 | 46703 3599 | 46723 3600 | 46727 3601 | 46747 3602 | 46751 3603 | 46757 3604 | 46769 3605 | 46771 3606 | 46807 3607 | 46811 3608 | 46817 3609 | 46819 3610 | 46829 3611 | 46831 3612 | 46853 3613 | 46861 3614 | 46867 3615 | 46877 3616 | 46889 3617 | 46901 3618 | 46919 3619 | 46933 3620 | 46957 3621 | 46993 3622 | 46997 3623 | 47017 3624 | 47041 3625 | 47051 3626 | 47057 3627 | 47059 3628 | 47087 3629 | 47093 3630 | 47111 3631 | 47119 3632 | 47123 3633 | 47129 3634 | 47137 3635 | 47143 3636 | 47147 3637 | 47149 3638 | 47161 3639 | 47189 3640 | 47207 3641 | 47221 3642 | 47237 3643 | 47251 3644 | 47269 3645 | 47279 3646 | 47287 3647 | 47293 3648 | 47297 3649 | 47303 3650 | 47309 3651 | 47317 3652 | 47339 3653 | 47351 3654 | 47353 3655 | 47363 3656 | 47381 3657 | 47387 3658 | 47389 3659 | 47407 3660 | 47417 3661 | 47419 3662 | 47431 3663 | 47441 3664 | 47459 3665 | 47491 3666 | 47497 3667 | 47501 3668 | 47507 3669 | 47513 3670 | 47521 3671 | 47527 3672 | 47533 3673 | 47543 3674 | 47563 3675 | 47569 3676 | 47581 3677 | 47591 3678 | 47599 3679 | 47609 3680 | 47623 3681 | 47629 3682 | 47639 3683 | 47653 3684 | 47657 3685 | 47659 3686 | 47681 3687 | 47699 3688 | 47701 3689 | 47711 3690 | 47713 3691 | 47717 3692 | 47737 3693 | 47741 3694 | 47743 3695 | 47777 3696 | 47779 3697 | 47791 3698 | 47797 3699 | 47807 3700 | 47809 3701 | 47819 3702 | 47837 3703 | 47843 3704 | 47857 3705 | 47869 3706 | 47881 3707 | 47903 3708 | 47911 3709 | 47917 3710 | 47933 3711 | 47939 3712 | 47947 3713 | 47951 3714 | 47963 3715 | 47969 3716 | 47977 3717 | 47981 3718 | 48017 3719 | 48023 3720 | 48029 3721 | 48049 3722 | 48073 3723 | 48079 3724 | 48091 3725 | 48109 3726 | 48119 3727 | 48121 3728 | 48131 3729 | 48157 3730 | 48163 3731 | 48179 3732 | 48187 3733 | 48193 3734 | 48197 3735 | 48221 3736 | 48239 3737 | 48247 3738 | 48259 3739 | 48271 3740 | 48281 3741 | 48299 3742 | 48311 3743 | 48313 3744 | 48337 3745 | 48341 3746 | 48353 3747 | 48371 3748 | 48383 3749 | 48397 3750 | 48407 3751 | 48409 3752 | 48413 3753 | 48437 3754 | 48449 3755 | 48463 3756 | 48473 3757 | 48479 3758 | 48481 3759 | 48487 3760 | 48491 3761 | 48497 3762 | 48523 3763 | 48527 3764 | 48533 3765 | 48539 3766 | 48541 3767 | 48563 3768 | 48571 3769 | 48589 3770 | 48593 3771 | 48611 3772 | 48619 3773 | 48623 3774 | 48647 3775 | 48649 3776 | 48661 3777 | 48673 3778 | 48677 3779 | 48679 3780 | 48731 3781 | 48733 3782 | 48751 3783 | 48757 3784 | 48761 3785 | 48767 3786 | 48779 3787 | 48781 3788 | 48787 3789 | 48799 3790 | 48809 3791 | 48817 3792 | 48821 3793 | 48823 3794 | 48847 3795 | 48857 3796 | 48859 3797 | 48869 3798 | 48871 3799 | 48883 3800 | 48889 3801 | 48907 3802 | 48947 3803 | 48953 3804 | 48973 3805 | 48989 3806 | 48991 3807 | 49003 3808 | 49009 3809 | 49019 3810 | 49031 3811 | 49033 3812 | 49037 3813 | 49043 3814 | 49057 3815 | 49069 3816 | 49081 3817 | 49103 3818 | 49109 3819 | 49117 3820 | 49121 3821 | 49123 3822 | 49139 3823 | 49157 3824 | 49169 3825 | 49171 3826 | 49177 3827 | 49193 3828 | 49199 3829 | 49201 3830 | 49207 3831 | 49211 3832 | 49223 3833 | 49253 3834 | 49261 3835 | 49277 3836 | 49279 3837 | 49297 3838 | 49307 3839 | 49331 3840 | 49333 3841 | 49339 3842 | 49363 3843 | 49367 3844 | 49369 3845 | 49391 3846 | 49393 3847 | 49409 3848 | 49411 3849 | 49417 3850 | 49429 3851 | 49433 3852 | 49451 3853 | 49459 3854 | 49463 3855 | 49477 3856 | 49481 3857 | 49499 3858 | 49523 3859 | 49529 3860 | 49531 3861 | 49537 3862 | 49547 3863 | 49549 3864 | 49559 3865 | 49597 3866 | 49603 3867 | 49613 3868 | 49627 3869 | 49633 3870 | 49639 3871 | 49663 3872 | 49667 3873 | 49669 3874 | 49681 3875 | 49697 3876 | 49711 3877 | 49727 3878 | 49739 3879 | 49741 3880 | 49747 3881 | 49757 3882 | 49783 3883 | 49787 3884 | 49789 3885 | 49801 3886 | 49807 3887 | 49811 3888 | 49823 3889 | 49831 3890 | 49843 3891 | 49853 3892 | 49871 3893 | 49877 3894 | 49891 3895 | 49919 3896 | 49921 3897 | 49927 3898 | 49937 3899 | 49939 3900 | 49943 3901 | 49957 3902 | 49991 3903 | 49993 3904 | 49999 3905 | 50021 3906 | 50023 3907 | 50033 3908 | 50047 3909 | 50051 3910 | 50053 3911 | 50069 3912 | 50077 3913 | 50087 3914 | 50093 3915 | 50101 3916 | 50111 3917 | 50119 3918 | 50123 3919 | 50129 3920 | 50131 3921 | 50147 3922 | 50153 3923 | 50159 3924 | 50177 3925 | 50207 3926 | 50221 3927 | 50227 3928 | 50231 3929 | 50261 3930 | 50263 3931 | 50273 3932 | 50287 3933 | 50291 3934 | 50311 3935 | 50321 3936 | 50329 3937 | 50333 3938 | 50341 3939 | 50359 3940 | 50363 3941 | 50377 3942 | 50383 3943 | 50387 3944 | 50411 3945 | 50417 3946 | 50423 3947 | 50441 3948 | 50459 3949 | 50461 3950 | 50497 3951 | 50503 3952 | 50513 3953 | 50527 3954 | 50539 3955 | 50543 3956 | 50549 3957 | 50551 3958 | 50581 3959 | 50587 3960 | 50591 3961 | 50593 3962 | 50599 3963 | 50627 3964 | 50647 3965 | 50651 3966 | 50671 3967 | 50683 3968 | 50707 3969 | 50723 3970 | 50741 3971 | 50753 3972 | 50767 3973 | 50773 3974 | 50777 3975 | 50789 3976 | 50821 3977 | 50833 3978 | 50839 3979 | 50849 3980 | 50857 3981 | 50867 3982 | 50873 3983 | 50891 3984 | 50893 3985 | 50909 3986 | 50923 3987 | 50929 3988 | 50951 3989 | 50957 3990 | 50969 3991 | 50971 3992 | 50989 3993 | 50993 3994 | 51001 3995 | 51031 3996 | 51043 3997 | 51047 3998 | 51059 3999 | 51061 4000 | 51071 4001 | 51109 4002 | 51131 4003 | 51133 4004 | 51137 4005 | 51151 4006 | 51157 4007 | 51169 4008 | 51193 4009 | 51197 4010 | 51199 4011 | 51203 4012 | 51217 4013 | 51229 4014 | 51239 4015 | 51241 4016 | 51257 4017 | 51263 4018 | 51283 4019 | 51287 4020 | 51307 4021 | 51329 4022 | 51341 4023 | 51343 4024 | 51347 4025 | 51349 4026 | 51361 4027 | 51383 4028 | 51407 4029 | 51413 4030 | 51419 4031 | 51421 4032 | 51427 4033 | 51431 4034 | 51437 4035 | 51439 4036 | 51449 4037 | 51461 4038 | 51473 4039 | 51479 4040 | 51481 4041 | 51487 4042 | 51503 4043 | 51511 4044 | 51517 4045 | 51521 4046 | 51539 4047 | 51551 4048 | 51563 4049 | 51577 4050 | 51581 4051 | 51593 4052 | 51599 4053 | 51607 4054 | 51613 4055 | 51631 4056 | 51637 4057 | 51647 4058 | 51659 4059 | 51673 4060 | 51679 4061 | 51683 4062 | 51691 4063 | 51713 4064 | 51719 4065 | 51721 4066 | 51749 4067 | 51767 4068 | 51769 4069 | 51787 4070 | 51797 4071 | 51803 4072 | 51817 4073 | 51827 4074 | 51829 4075 | 51839 4076 | 51853 4077 | 51859 4078 | 51869 4079 | 51871 4080 | 51893 4081 | 51899 4082 | 51907 4083 | 51913 4084 | 51929 4085 | 51941 4086 | 51949 4087 | 51971 4088 | 51973 4089 | 51977 4090 | 51991 4091 | 52009 4092 | 52021 4093 | 52027 4094 | 52051 4095 | 52057 4096 | 52067 4097 | 52069 4098 | 52081 4099 | 52103 4100 | 52121 4101 | 52127 4102 | 52147 4103 | 52153 4104 | 52163 4105 | 52177 4106 | 52181 4107 | 52183 4108 | 52189 4109 | 52201 4110 | 52223 4111 | 52237 4112 | 52249 4113 | 52253 4114 | 52259 4115 | 52267 4116 | 52289 4117 | 52291 4118 | 52301 4119 | 52313 4120 | 52321 4121 | 52361 4122 | 52363 4123 | 52369 4124 | 52379 4125 | 52387 4126 | 52391 4127 | 52433 4128 | 52453 4129 | 52457 4130 | 52489 4131 | 52501 4132 | 52511 4133 | 52517 4134 | 52529 4135 | 52541 4136 | 52543 4137 | 52553 4138 | 52561 4139 | 52567 4140 | 52571 4141 | 52579 4142 | 52583 4143 | 52609 4144 | 52627 4145 | 52631 4146 | 52639 4147 | 52667 4148 | 52673 4149 | 52691 4150 | 52697 4151 | 52709 4152 | 52711 4153 | 52721 4154 | 52727 4155 | 52733 4156 | 52747 4157 | 52757 4158 | 52769 4159 | 52783 4160 | 52807 4161 | 52813 4162 | 52817 4163 | 52837 4164 | 52859 4165 | 52861 4166 | 52879 4167 | 52883 4168 | 52889 4169 | 52901 4170 | 52903 4171 | 52919 4172 | 52937 4173 | 52951 4174 | 52957 4175 | 52963 4176 | 52967 4177 | 52973 4178 | 52981 4179 | 52999 4180 | 53003 4181 | 53017 4182 | 53047 4183 | 53051 4184 | 53069 4185 | 53077 4186 | 53087 4187 | 53089 4188 | 53093 4189 | 53101 4190 | 53113 4191 | 53117 4192 | 53129 4193 | 53147 4194 | 53149 4195 | 53161 4196 | 53171 4197 | 53173 4198 | 53189 4199 | 53197 4200 | 53201 4201 | 53231 4202 | 53233 4203 | 53239 4204 | 53267 4205 | 53269 4206 | 53279 4207 | 53281 4208 | 53299 4209 | 53309 4210 | 53323 4211 | 53327 4212 | 53353 4213 | 53359 4214 | 53377 4215 | 53381 4216 | 53401 4217 | 53407 4218 | 53411 4219 | 53419 4220 | 53437 4221 | 53441 4222 | 53453 4223 | 53479 4224 | 53503 4225 | 53507 4226 | 53527 4227 | 53549 4228 | 53551 4229 | 53569 4230 | 53591 4231 | 53593 4232 | 53597 4233 | 53609 4234 | 53611 4235 | 53617 4236 | 53623 4237 | 53629 4238 | 53633 4239 | 53639 4240 | 53653 4241 | 53657 4242 | 53681 4243 | 53693 4244 | 53699 4245 | 53717 4246 | 53719 4247 | 53731 4248 | 53759 4249 | 53773 4250 | 53777 4251 | 53783 4252 | 53791 4253 | 53813 4254 | 53819 4255 | 53831 4256 | 53849 4257 | 53857 4258 | 53861 4259 | 53881 4260 | 53887 4261 | 53891 4262 | 53897 4263 | 53899 4264 | 53917 4265 | 53923 4266 | 53927 4267 | 53939 4268 | 53951 4269 | 53959 4270 | 53987 4271 | 53993 4272 | 54001 4273 | 54011 4274 | 54013 4275 | 54037 4276 | 54049 4277 | 54059 4278 | 54083 4279 | 54091 4280 | 54101 4281 | 54121 4282 | 54133 4283 | 54139 4284 | 54151 4285 | 54163 4286 | 54167 4287 | 54181 4288 | 54193 4289 | 54217 4290 | 54251 4291 | 54269 4292 | 54277 4293 | 54287 4294 | 54293 4295 | 54311 4296 | 54319 4297 | 54323 4298 | 54331 4299 | 54347 4300 | 54361 4301 | 54367 4302 | 54371 4303 | 54377 4304 | 54401 4305 | 54403 4306 | 54409 4307 | 54413 4308 | 54419 4309 | 54421 4310 | 54437 4311 | 54443 4312 | 54449 4313 | 54469 4314 | 54493 4315 | 54497 4316 | 54499 4317 | 54503 4318 | 54517 4319 | 54521 4320 | 54539 4321 | 54541 4322 | 54547 4323 | 54559 4324 | 54563 4325 | 54577 4326 | 54581 4327 | 54583 4328 | 54601 4329 | 54617 4330 | 54623 4331 | 54629 4332 | 54631 4333 | 54647 4334 | 54667 4335 | 54673 4336 | 54679 4337 | 54709 4338 | 54713 4339 | 54721 4340 | 54727 4341 | 54751 4342 | 54767 4343 | 54773 4344 | 54779 4345 | 54787 4346 | 54799 4347 | 54829 4348 | 54833 4349 | 54851 4350 | 54869 4351 | 54877 4352 | 54881 4353 | 54907 4354 | 54917 4355 | 54919 4356 | 54941 4357 | 54949 4358 | 54959 4359 | 54973 4360 | 54979 4361 | 54983 4362 | 55001 4363 | 55009 4364 | 55021 4365 | 55049 4366 | 55051 4367 | 55057 4368 | 55061 4369 | 55073 4370 | 55079 4371 | 55103 4372 | 55109 4373 | 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101797 8520 | 101807 8521 | 101833 8522 | 101837 8523 | 101839 8524 | 101863 8525 | 101869 8526 | 101873 8527 | 101879 8528 | 101891 8529 | 101917 8530 | 101921 8531 | 101929 8532 | 101939 8533 | 101957 8534 | 101963 8535 | 101977 8536 | 101987 8537 | 101999 8538 | 102001 8539 | 102013 8540 | 102019 8541 | 102023 8542 | 102031 8543 | 102043 8544 | 102059 8545 | 102061 8546 | 102071 8547 | 102077 8548 | 102079 8549 | 102101 8550 | 102103 8551 | 102107 8552 | 102121 8553 | 102139 8554 | 102149 8555 | 102161 8556 | 102181 8557 | 102191 8558 | 102197 8559 | 102199 8560 | 102203 8561 | 102217 8562 | 102229 8563 | 102233 8564 | 102241 8565 | 102251 8566 | 102253 8567 | 102259 8568 | 102293 8569 | 102299 8570 | 102301 8571 | 102317 8572 | 102329 8573 | 102337 8574 | 102359 8575 | 102367 8576 | 102397 8577 | 102407 8578 | 102409 8579 | 102433 8580 | 102437 8581 | 102451 8582 | 102461 8583 | 102481 8584 | 102497 8585 | 102499 8586 | 102503 8587 | 102523 8588 | 102533 8589 | 102539 8590 | 102547 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103511 8663 | 103529 8664 | 103549 8665 | 103553 8666 | 103561 8667 | 103567 8668 | 103573 8669 | 103577 8670 | 103583 8671 | 103591 8672 | 103613 8673 | 103619 8674 | 103643 8675 | 103651 8676 | 103657 8677 | 103669 8678 | 103681 8679 | 103687 8680 | 103699 8681 | 103703 8682 | 103723 8683 | 103769 8684 | 103787 8685 | 103801 8686 | 103811 8687 | 103813 8688 | 103837 8689 | 103841 8690 | 103843 8691 | 103867 8692 | 103889 8693 | 103903 8694 | 103913 8695 | 103919 8696 | 103951 8697 | 103963 8698 | 103967 8699 | 103969 8700 | 103979 8701 | 103981 8702 | 103991 8703 | 103993 8704 | 103997 8705 | 104003 8706 | 104009 8707 | 104021 8708 | 104033 8709 | 104047 8710 | 104053 8711 | 104059 8712 | 104087 8713 | 104089 8714 | 104107 8715 | 104113 8716 | 104119 8717 | 104123 8718 | 104147 8719 | 104149 8720 | 104161 8721 | 104173 8722 | 104179 8723 | 104183 8724 | 104207 8725 | 104231 8726 | 104233 8727 | 104239 8728 | 104243 8729 | 104281 8730 | 104287 8731 | 104297 8732 | 104309 8733 | 104311 8734 | 104323 8735 | 104327 8736 | 104347 8737 | 104369 8738 | 104381 8739 | 104383 8740 | 104393 8741 | 104399 8742 | 104417 8743 | 104459 8744 | 104471 8745 | 104473 8746 | 104479 8747 | 104491 8748 | 104513 8749 | 104527 8750 | 104537 8751 | 104543 8752 | 104549 8753 | 104551 8754 | 104561 8755 | 104579 8756 | 104593 8757 | 104597 8758 | 104623 8759 | 104639 8760 | 104651 8761 | 104659 8762 | 104677 8763 | 104681 8764 | 104683 8765 | 104693 8766 | 104701 8767 | 104707 8768 | 104711 8769 | 104717 8770 | 104723 8771 | 104729 8772 | -------------------------------------------------------------------------------- /rsa.c: -------------------------------------------------------------------------------- 1 | #include 2 | #include 3 | #include 4 | #include 5 | #include 6 | #include 7 | 8 | 9 | char buffer[1024]; 10 | const int MAX_DIGITS = 50; 11 | int i,j = 0; 12 | 13 | struct public_key_class{ 14 | long long modulus; 15 | long long exponent; 16 | }; 17 | 18 | struct private_key_class{ 19 | long long modulus; 20 | long long exponent; 21 | }; 22 | 23 | 24 | // This should totally be in the math library. 25 | long long gcd(long long a, long long b) 26 | { 27 | long long c; 28 | while ( a != 0 ) { 29 | c = a; a = b%a; b = c; 30 | } 31 | return b; 32 | } 33 | 34 | 35 | long long ExtEuclid(long long a, long long b) 36 | { 37 | long long x = 0, y = 1, u = 1, v = 0, gcd = b, m, n, q, r; 38 | while (a!=0) { 39 | q = gcd/a; r = gcd % a; 40 | m = x-u*q; n = y-v*q; 41 | gcd = a; a = r; x = u; y = v; u = m; v = n; 42 | } 43 | return y; 44 | } 45 | static inline long long modmult(long long a,long long b,long long mod) 46 | { 47 | // this is necessary since we will be dividing by a 48 | if (a == 0 ){ 49 | return 0; 50 | } 51 | register long long product = a * b; 52 | //if multiplication does not overflow, we can use it 53 | if (product / a == b){ 54 | return product % mod; 55 | } 56 | // if a % 2 == 1 i. e. a >> 1 is not a / 2 57 | if ( a & 1 ) { 58 | product = modmult((a>>1), b, mod); 59 | if ((product << 1) > product ){ 60 | return ((( product << 1 ) % mod ) + b) % mod; 61 | } 62 | } 63 | //implicit else 64 | product = modmult((a >> 1), b, mod); 65 | if ((product << 1) > product){ 66 | return (product << 1) % mod ; 67 | } 68 | //implicit else: this is about 10x slower than the code above, but it will not overflow 69 | long long sum; 70 | sum = 0; 71 | while(b>0) 72 | { 73 | if(b&1) 74 | sum = (sum + a) % mod; 75 | a = (2*a) % mod; 76 | b>>=1; 77 | } 78 | return sum; 79 | } 80 | long long rsa_modExp(long long b, long long e, long long m) 81 | { 82 | long long product; 83 | product = 1; 84 | if (b < 0 || e < 0 || m <= 0){ 85 | return -1; 86 | } 87 | b = b % m; 88 | while ( e > 0){ 89 | if (e & 1){ 90 | product = modmult(product, b, m); 91 | } 92 | b = modmult(b, b, m); 93 | e >>= 1; 94 | } 95 | return product; 96 | } 97 | // Calling this function will generate a public and private key and store them in the pointers 98 | // it is given. 99 | void rsa_gen_keys(struct public_key_class *pub, struct private_key_class *priv, char *PRIME_SOURCE_FILE) 100 | { 101 | FILE *primes_list; 102 | if(!(primes_list = fopen(PRIME_SOURCE_FILE, "r"))){ 103 | fprintf(stderr, "Problem reading %s\n", PRIME_SOURCE_FILE); 104 | exit(1); 105 | } 106 | 107 | // count number of primes in the list 108 | long long prime_count = 0; 109 | do{ 110 | int bytes_read = fread(buffer,1,sizeof(buffer)-1, primes_list); 111 | buffer[bytes_read] = '\0'; 112 | for (i=0 ; buffer[i]; i++){ 113 | if (buffer[i] == '\n'){ 114 | prime_count++; 115 | } 116 | } 117 | } 118 | while(feof(primes_list) == 0); 119 | 120 | 121 | // choose random primes from the list, store them as p,q 122 | 123 | long long p = 0; 124 | long long q = 0; 125 | 126 | //values of e should be sufficiently large to protect against naive attacks 127 | long long e = (2 << 16) +1; 128 | long long d = 0; 129 | char prime_buffer[MAX_DIGITS]; 130 | long long max = 0; 131 | long long phi_max = 0; 132 | 133 | srand(time(NULL)); 134 | 135 | do{ 136 | // a and b are the positions of p and q in the list 137 | int a = (double)rand() * (prime_count+1) / (RAND_MAX+1.0); 138 | int b = (double)rand() * (prime_count+1) / (RAND_MAX+1.0); 139 | 140 | // here we find the prime at position a, store it as p 141 | rewind(primes_list); 142 | for(i=0; i < a + 1; i++){ 143 | // for(j=0; j < MAX_DIGITS; j++){ 144 | // prime_buffer[j] = 0; 145 | // } 146 | fgets(prime_buffer,sizeof(prime_buffer)-1, primes_list); 147 | } 148 | p = atol(prime_buffer); 149 | 150 | // here we find the prime at position b, store it as q 151 | rewind(primes_list); 152 | for(i=0; i < b + 1; i++){ 153 | for(j=0; j < MAX_DIGITS; j++){ 154 | prime_buffer[j] = 0; 155 | } 156 | fgets(prime_buffer,sizeof(prime_buffer)-1, primes_list); 157 | } 158 | q = atol(prime_buffer); 159 | 160 | max = p*q; 161 | phi_max = (p-1)*(q-1); 162 | } 163 | while(!(p && q) || (p == q) || (gcd(phi_max, e) != 1)); 164 | 165 | // Next, we need to choose a,b, so that a*max+b*e = gcd(max,e). We actually only need b 166 | // here, and in keeping with the usual notation of RSA we'll call it d. We'd also like 167 | // to make sure we get a representation of d as positive, hence the while loop. 168 | d = ExtEuclid(phi_max,e); 169 | while(d < 0){ 170 | d = d+phi_max; 171 | } 172 | 173 | //printf("primes are %lld and %lld\n",(long long)p, (long long )q); 174 | // We now store the public / private keys in the appropriate structs 175 | pub->modulus = max; 176 | pub->exponent = e; 177 | 178 | priv->modulus = max; 179 | priv->exponent = d; 180 | } 181 | 182 | 183 | long long *rsa_encrypt(const char *message, const unsigned long message_size, 184 | const struct public_key_class *pub) 185 | { 186 | long long *encrypted = malloc(sizeof(long long)*message_size); 187 | if(encrypted == NULL){ 188 | fprintf(stderr, 189 | "Error: Heap allocation failed.\n"); 190 | return NULL; 191 | } 192 | long long i = 0; 193 | for(i=0; i < message_size; i++){ 194 | if ((encrypted[i] = rsa_modExp(message[i], pub->exponent, pub->modulus)) == -1) 195 | return NULL; 196 | } 197 | return encrypted; 198 | } 199 | 200 | 201 | char *rsa_decrypt(const long long *message, 202 | const unsigned long message_size, 203 | const struct private_key_class *priv) 204 | { 205 | if(message_size % sizeof(long long) != 0){ 206 | fprintf(stderr, 207 | "Error: message_size is not divisible by %d, so cannot be output of rsa_encrypt\n", (int)sizeof(long long)); 208 | return NULL; 209 | } 210 | // We allocate space to do the decryption (temp) and space for the output as a char array 211 | // (decrypted) 212 | char *decrypted = malloc(message_size/sizeof(long long)); 213 | char *temp = malloc(message_size); 214 | if((decrypted == NULL) || (temp == NULL)){ 215 | fprintf(stderr, 216 | "Error: Heap allocation failed.\n"); 217 | return NULL; 218 | } 219 | // Now we go through each 8-byte chunk and decrypt it. 220 | long long i = 0; 221 | for(i=0; i < message_size/8; i++){ 222 | if ((temp[i] = rsa_modExp(message[i], priv->exponent, priv->modulus)) == -1){ 223 | free(temp); 224 | return NULL; 225 | } 226 | } 227 | // The result should be a number in the char range, which gives back the original byte. 228 | // We put that into decrypted, then return. 229 | for(i=0; i < message_size/8; i++){ 230 | decrypted[i] = temp[i]; 231 | } 232 | free(temp); 233 | return decrypted; 234 | } 235 | -------------------------------------------------------------------------------- /rsa.h: -------------------------------------------------------------------------------- 1 | #ifndef __RSA_H__ 2 | #define __RSA_H__ 3 | 4 | #include 5 | 6 | // This is the header file for the library librsaencrypt.a 7 | 8 | // Change this line to the file you'd like to use as a source of primes. 9 | // The format of the file should be one prime per line. 10 | char *PRIME_SOURCE_FILE = "primes.txt"; 11 | 12 | 13 | struct public_key_class{ 14 | long long modulus; 15 | long long exponent; 16 | }; 17 | 18 | struct private_key_class{ 19 | long long modulus; 20 | long long exponent; 21 | }; 22 | 23 | // This function generates public and private keys, then stores them in the structures you 24 | // provide pointers to. The 3rd argument should be the text PRIME_SOURCE_FILE to have it use 25 | // the location specified above in this header. 26 | void rsa_gen_keys(struct public_key_class *pub, struct private_key_class *priv, const char *PRIME_SOURCE_FILE); 27 | 28 | // This function will encrypt the data pointed to by message. It returns a pointer to a heap 29 | // array containing the encrypted data, or NULL upon failure. This pointer should be freed when 30 | // you are finished. The encrypted data will be 8 times as large as the original data. 31 | long long *rsa_encrypt(const char *message, const unsigned long message_size, const struct public_key_class *pub); 32 | 33 | // This function will decrypt the data pointed to by message. It returns a pointer to a heap 34 | // array containing the decrypted data, or NULL upon failure. This pointer should be freed when 35 | // you are finished. The variable message_size is the size in bytes of the encrypted message. 36 | // The decrypted data will be 1/8th the size of the encrypted data. 37 | char *rsa_decrypt(const long long *message, const unsigned long message_size, const struct private_key_class *pub); 38 | 39 | #endif 40 | -------------------------------------------------------------------------------- /test.c: -------------------------------------------------------------------------------- 1 | #include 2 | #include "rsa.h" 3 | #include 4 | #include 5 | 6 | int main(int argc, char **argv) 7 | { 8 | struct public_key_class pub[1]; 9 | struct private_key_class priv[1]; 10 | rsa_gen_keys(pub, priv, PRIME_SOURCE_FILE); 11 | 12 | printf("Private Key:\n Modulus: %lld\n Exponent: %lld\n", (long long)priv->modulus, (long long) priv->exponent); 13 | printf("Public Key:\n Modulus: %lld\n Exponent: %lld\n", (long long)pub->modulus, (long long) pub->exponent); 14 | 15 | char message[] = "123abc"; 16 | int i; 17 | 18 | printf("Original:\n"); 19 | for(i=0; i < strlen(message); i++){ 20 | printf("%lld\n", (long long)message[i]); 21 | } 22 | 23 | long long *encrypted = rsa_encrypt(message, sizeof(message), pub); 24 | if (!encrypted){ 25 | fprintf(stderr, "Error in encryption!\n"); 26 | return 1; 27 | } 28 | printf("Encrypted:\n"); 29 | for(i=0; i < strlen(message); i++){ 30 | printf("%lld\n", (long long)encrypted[i]); 31 | } 32 | 33 | char *decrypted = rsa_decrypt(encrypted, 8*sizeof(message), priv); 34 | if (!decrypted){ 35 | fprintf(stderr, "Error in decryption!\n"); 36 | return 1; 37 | } 38 | printf("Decrypted:\n"); 39 | for(i=0; i < strlen(message); i++){ 40 | printf("%lld\n", (long long)decrypted[i]); 41 | } 42 | 43 | printf("\n"); 44 | free(encrypted); 45 | free(decrypted); 46 | return 0; 47 | } 48 | --------------------------------------------------------------------------------