├── README.md ├── primes-to-100k.txt └── rsa.py /README.md: -------------------------------------------------------------------------------- 1 | # RSA Implementation in Python 2 | This program implements the RSA algorithm for cryptography. It randomly selects two prime numbers from a txt file of prime numbers and 3 | uses them to produce the public and private keys. Using the keys, it can either encrypt or decrypt messages using the RSA algorithm. 4 | 5 | Note: The files storing the public and private keys are formatted such that the first line is n and the second line is e or d. 6 | -------------------------------------------------------------------------------- /primes-to-100k.txt: -------------------------------------------------------------------------------- 1 | 2 2 | 3 3 | 5 4 | 7 5 | 11 6 | 13 7 | 17 8 | 19 9 | 23 10 | 29 11 | 31 12 | 37 13 | 41 14 | 43 15 | 47 16 | 53 17 | 59 18 | 61 19 | 67 20 | 71 21 | 73 22 | 79 23 | 83 24 | 89 25 | 97 26 | 101 27 | 103 28 | 107 29 | 109 30 | 113 31 | 127 32 | 131 33 | 137 34 | 139 35 | 149 36 | 151 37 | 157 38 | 163 39 | 167 40 | 173 41 | 179 42 | 181 43 | 191 44 | 193 45 | 197 46 | 199 47 | 211 48 | 223 49 | 227 50 | 229 51 | 233 52 | 239 53 | 241 54 | 251 55 | 257 56 | 263 57 | 269 58 | 271 59 | 277 60 | 281 61 | 283 62 | 293 63 | 307 64 | 311 65 | 313 66 | 317 67 | 331 68 | 337 69 | 347 70 | 349 71 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| 14549 1705 | 14551 1706 | 14557 1707 | 14561 1708 | 14563 1709 | 14591 1710 | 14593 1711 | 14621 1712 | 14627 1713 | 14629 1714 | 14633 1715 | 14639 1716 | 14653 1717 | 14657 1718 | 14669 1719 | 14683 1720 | 14699 1721 | 14713 1722 | 14717 1723 | 14723 1724 | 14731 1725 | 14737 1726 | 14741 1727 | 14747 1728 | 14753 1729 | 14759 1730 | 14767 1731 | 14771 1732 | 14779 1733 | 14783 1734 | 14797 1735 | 14813 1736 | 14821 1737 | 14827 1738 | 14831 1739 | 14843 1740 | 14851 1741 | 14867 1742 | 14869 1743 | 14879 1744 | 14887 1745 | 14891 1746 | 14897 1747 | 14923 1748 | 14929 1749 | 14939 1750 | 14947 1751 | 14951 1752 | 14957 1753 | 14969 1754 | 14983 1755 | 15013 1756 | 15017 1757 | 15031 1758 | 15053 1759 | 15061 1760 | 15073 1761 | 15077 1762 | 15083 1763 | 15091 1764 | 15101 1765 | 15107 1766 | 15121 1767 | 15131 1768 | 15137 1769 | 15139 1770 | 15149 1771 | 15161 1772 | 15173 1773 | 15187 1774 | 15193 1775 | 15199 1776 | 15217 1777 | 15227 1778 | 15233 1779 | 15241 1780 | 15259 1781 | 15263 1782 | 15269 1783 | 15271 1784 | 15277 1785 | 15287 1786 | 15289 1787 | 15299 1788 | 15307 1789 | 15313 1790 | 15319 1791 | 15329 1792 | 15331 1793 | 15349 1794 | 15359 1795 | 15361 1796 | 15373 1797 | 15377 1798 | 15383 1799 | 15391 1800 | 15401 1801 | 15413 1802 | 15427 1803 | 15439 1804 | 15443 1805 | 15451 1806 | 15461 1807 | 15467 1808 | 15473 1809 | 15493 1810 | 15497 1811 | 15511 1812 | 15527 1813 | 15541 1814 | 15551 1815 | 15559 1816 | 15569 1817 | 15581 1818 | 15583 1819 | 15601 1820 | 15607 1821 | 15619 1822 | 15629 1823 | 15641 1824 | 15643 1825 | 15647 1826 | 15649 1827 | 15661 1828 | 15667 1829 | 15671 1830 | 15679 1831 | 15683 1832 | 15727 1833 | 15731 1834 | 15733 1835 | 15737 1836 | 15739 1837 | 15749 1838 | 15761 1839 | 15767 1840 | 15773 1841 | 15787 1842 | 15791 1843 | 15797 1844 | 15803 1845 | 15809 1846 | 15817 1847 | 15823 1848 | 15859 1849 | 15877 1850 | 15881 1851 | 15887 1852 | 15889 1853 | 15901 1854 | 15907 1855 | 15913 1856 | 15919 1857 | 15923 1858 | 15937 1859 | 15959 1860 | 15971 1861 | 15973 1862 | 15991 1863 | 16001 1864 | 16007 1865 | 16033 1866 | 16057 1867 | 16061 1868 | 16063 1869 | 16067 1870 | 16069 1871 | 16073 1872 | 16087 1873 | 16091 1874 | 16097 1875 | 16103 1876 | 16111 1877 | 16127 1878 | 16139 1879 | 16141 1880 | 16183 1881 | 16187 1882 | 16189 1883 | 16193 1884 | 16217 1885 | 16223 1886 | 16229 1887 | 16231 1888 | 16249 1889 | 16253 1890 | 16267 1891 | 16273 1892 | 16301 1893 | 16319 1894 | 16333 1895 | 16339 1896 | 16349 1897 | 16361 1898 | 16363 1899 | 16369 1900 | 16381 1901 | 16411 1902 | 16417 1903 | 16421 1904 | 16427 1905 | 16433 1906 | 16447 1907 | 16451 1908 | 16453 1909 | 16477 1910 | 16481 1911 | 16487 1912 | 16493 1913 | 16519 1914 | 16529 1915 | 16547 1916 | 16553 1917 | 16561 1918 | 16567 1919 | 16573 1920 | 16603 1921 | 16607 1922 | 16619 1923 | 16631 1924 | 16633 1925 | 16649 1926 | 16651 1927 | 16657 1928 | 16661 1929 | 16673 1930 | 16691 1931 | 16693 1932 | 16699 1933 | 16703 1934 | 16729 1935 | 16741 1936 | 16747 1937 | 16759 1938 | 16763 1939 | 16787 1940 | 16811 1941 | 16823 1942 | 16829 1943 | 16831 1944 | 16843 1945 | 16871 1946 | 16879 1947 | 16883 1948 | 16889 1949 | 16901 1950 | 16903 1951 | 16921 1952 | 16927 1953 | 16931 1954 | 16937 1955 | 16943 1956 | 16963 1957 | 16979 1958 | 16981 1959 | 16987 1960 | 16993 1961 | 17011 1962 | 17021 1963 | 17027 1964 | 17029 1965 | 17033 1966 | 17041 1967 | 17047 1968 | 17053 1969 | 17077 1970 | 17093 1971 | 17099 1972 | 17107 1973 | 17117 1974 | 17123 1975 | 17137 1976 | 17159 1977 | 17167 1978 | 17183 1979 | 17189 1980 | 17191 1981 | 17203 1982 | 17207 1983 | 17209 1984 | 17231 1985 | 17239 1986 | 17257 1987 | 17291 1988 | 17293 1989 | 17299 1990 | 17317 1991 | 17321 1992 | 17327 1993 | 17333 1994 | 17341 1995 | 17351 1996 | 17359 1997 | 17377 1998 | 17383 1999 | 17387 2000 | 17389 2001 | 17393 2002 | 17401 2003 | 17417 2004 | 17419 2005 | 17431 2006 | 17443 2007 | 17449 2008 | 17467 2009 | 17471 2010 | 17477 2011 | 17483 2012 | 17489 2013 | 17491 2014 | 17497 2015 | 17509 2016 | 17519 2017 | 17539 2018 | 17551 2019 | 17569 2020 | 17573 2021 | 17579 2022 | 17581 2023 | 17597 2024 | 17599 2025 | 17609 2026 | 17623 2027 | 17627 2028 | 17657 2029 | 17659 2030 | 17669 2031 | 17681 2032 | 17683 2033 | 17707 2034 | 17713 2035 | 17729 2036 | 17737 2037 | 17747 2038 | 17749 2039 | 17761 2040 | 17783 2041 | 17789 2042 | 17791 2043 | 17807 2044 | 17827 2045 | 17837 2046 | 17839 2047 | 17851 2048 | 17863 2049 | 17881 2050 | 17891 2051 | 17903 2052 | 17909 2053 | 17911 2054 | 17921 2055 | 17923 2056 | 17929 2057 | 17939 2058 | 17957 2059 | 17959 2060 | 17971 2061 | 17977 2062 | 17981 2063 | 17987 2064 | 17989 2065 | 18013 2066 | 18041 2067 | 18043 2068 | 18047 2069 | 18049 2070 | 18059 2071 | 18061 2072 | 18077 2073 | 18089 2074 | 18097 2075 | 18119 2076 | 18121 2077 | 18127 2078 | 18131 2079 | 18133 2080 | 18143 2081 | 18149 2082 | 18169 2083 | 18181 2084 | 18191 2085 | 18199 2086 | 18211 2087 | 18217 2088 | 18223 2089 | 18229 2090 | 18233 2091 | 18251 2092 | 18253 2093 | 18257 2094 | 18269 2095 | 18287 2096 | 18289 2097 | 18301 2098 | 18307 2099 | 18311 2100 | 18313 2101 | 18329 2102 | 18341 2103 | 18353 2104 | 18367 2105 | 18371 2106 | 18379 2107 | 18397 2108 | 18401 2109 | 18413 2110 | 18427 2111 | 18433 2112 | 18439 2113 | 18443 2114 | 18451 2115 | 18457 2116 | 18461 2117 | 18481 2118 | 18493 2119 | 18503 2120 | 18517 2121 | 18521 2122 | 18523 2123 | 18539 2124 | 18541 2125 | 18553 2126 | 18583 2127 | 18587 2128 | 18593 2129 | 18617 2130 | 18637 2131 | 18661 2132 | 18671 2133 | 18679 2134 | 18691 2135 | 18701 2136 | 18713 2137 | 18719 2138 | 18731 2139 | 18743 2140 | 18749 2141 | 18757 2142 | 18773 2143 | 18787 2144 | 18793 2145 | 18797 2146 | 18803 2147 | 18839 2148 | 18859 2149 | 18869 2150 | 18899 2151 | 18911 2152 | 18913 2153 | 18917 2154 | 18919 2155 | 18947 2156 | 18959 2157 | 18973 2158 | 18979 2159 | 19001 2160 | 19009 2161 | 19013 2162 | 19031 2163 | 19037 2164 | 19051 2165 | 19069 2166 | 19073 2167 | 19079 2168 | 19081 2169 | 19087 2170 | 19121 2171 | 19139 2172 | 19141 2173 | 19157 2174 | 19163 2175 | 19181 2176 | 19183 2177 | 19207 2178 | 19211 2179 | 19213 2180 | 19219 2181 | 19231 2182 | 19237 2183 | 19249 2184 | 19259 2185 | 19267 2186 | 19273 2187 | 19289 2188 | 19301 2189 | 19309 2190 | 19319 2191 | 19333 2192 | 19373 2193 | 19379 2194 | 19381 2195 | 19387 2196 | 19391 2197 | 19403 2198 | 19417 2199 | 19421 2200 | 19423 2201 | 19427 2202 | 19429 2203 | 19433 2204 | 19441 2205 | 19447 2206 | 19457 2207 | 19463 2208 | 19469 2209 | 19471 2210 | 19477 2211 | 19483 2212 | 19489 2213 | 19501 2214 | 19507 2215 | 19531 2216 | 19541 2217 | 19543 2218 | 19553 2219 | 19559 2220 | 19571 2221 | 19577 2222 | 19583 2223 | 19597 2224 | 19603 2225 | 19609 2226 | 19661 2227 | 19681 2228 | 19687 2229 | 19697 2230 | 19699 2231 | 19709 2232 | 19717 2233 | 19727 2234 | 19739 2235 | 19751 2236 | 19753 2237 | 19759 2238 | 19763 2239 | 19777 2240 | 19793 2241 | 19801 2242 | 19813 2243 | 19819 2244 | 19841 2245 | 19843 2246 | 19853 2247 | 19861 2248 | 19867 2249 | 19889 2250 | 19891 2251 | 19913 2252 | 19919 2253 | 19927 2254 | 19937 2255 | 19949 2256 | 19961 2257 | 19963 2258 | 19973 2259 | 19979 2260 | 19991 2261 | 19993 2262 | 19997 2263 | 20011 2264 | 20021 2265 | 20023 2266 | 20029 2267 | 20047 2268 | 20051 2269 | 20063 2270 | 20071 2271 | 20089 2272 | 20101 2273 | 20107 2274 | 20113 2275 | 20117 2276 | 20123 2277 | 20129 2278 | 20143 2279 | 20147 2280 | 20149 2281 | 20161 2282 | 20173 2283 | 20177 2284 | 20183 2285 | 20201 2286 | 20219 2287 | 20231 2288 | 20233 2289 | 20249 2290 | 20261 2291 | 20269 2292 | 20287 2293 | 20297 2294 | 20323 2295 | 20327 2296 | 20333 2297 | 20341 2298 | 20347 2299 | 20353 2300 | 20357 2301 | 20359 2302 | 20369 2303 | 20389 2304 | 20393 2305 | 20399 2306 | 20407 2307 | 20411 2308 | 20431 2309 | 20441 2310 | 20443 2311 | 20477 2312 | 20479 2313 | 20483 2314 | 20507 2315 | 20509 2316 | 20521 2317 | 20533 2318 | 20543 2319 | 20549 2320 | 20551 2321 | 20563 2322 | 20593 2323 | 20599 2324 | 20611 2325 | 20627 2326 | 20639 2327 | 20641 2328 | 20663 2329 | 20681 2330 | 20693 2331 | 20707 2332 | 20717 2333 | 20719 2334 | 20731 2335 | 20743 2336 | 20747 2337 | 20749 2338 | 20753 2339 | 20759 2340 | 20771 2341 | 20773 2342 | 20789 2343 | 20807 2344 | 20809 2345 | 20849 2346 | 20857 2347 | 20873 2348 | 20879 2349 | 20887 2350 | 20897 2351 | 20899 2352 | 20903 2353 | 20921 2354 | 20929 2355 | 20939 2356 | 20947 2357 | 20959 2358 | 20963 2359 | 20981 2360 | 20983 2361 | 21001 2362 | 21011 2363 | 21013 2364 | 21017 2365 | 21019 2366 | 21023 2367 | 21031 2368 | 21059 2369 | 21061 2370 | 21067 2371 | 21089 2372 | 21101 2373 | 21107 2374 | 21121 2375 | 21139 2376 | 21143 2377 | 21149 2378 | 21157 2379 | 21163 2380 | 21169 2381 | 21179 2382 | 21187 2383 | 21191 2384 | 21193 2385 | 21211 2386 | 21221 2387 | 21227 2388 | 21247 2389 | 21269 2390 | 21277 2391 | 21283 2392 | 21313 2393 | 21317 2394 | 21319 2395 | 21323 2396 | 21341 2397 | 21347 2398 | 21377 2399 | 21379 2400 | 21383 2401 | 21391 2402 | 21397 2403 | 21401 2404 | 21407 2405 | 21419 2406 | 21433 2407 | 21467 2408 | 21481 2409 | 21487 2410 | 21491 2411 | 21493 2412 | 21499 2413 | 21503 2414 | 21517 2415 | 21521 2416 | 21523 2417 | 21529 2418 | 21557 2419 | 21559 2420 | 21563 2421 | 21569 2422 | 21577 2423 | 21587 2424 | 21589 2425 | 21599 2426 | 21601 2427 | 21611 2428 | 21613 2429 | 21617 2430 | 21647 2431 | 21649 2432 | 21661 2433 | 21673 2434 | 21683 2435 | 21701 2436 | 21713 2437 | 21727 2438 | 21737 2439 | 21739 2440 | 21751 2441 | 21757 2442 | 21767 2443 | 21773 2444 | 21787 2445 | 21799 2446 | 21803 2447 | 21817 2448 | 21821 2449 | 21839 2450 | 21841 2451 | 21851 2452 | 21859 2453 | 21863 2454 | 21871 2455 | 21881 2456 | 21893 2457 | 21911 2458 | 21929 2459 | 21937 2460 | 21943 2461 | 21961 2462 | 21977 2463 | 21991 2464 | 21997 2465 | 22003 2466 | 22013 2467 | 22027 2468 | 22031 2469 | 22037 2470 | 22039 2471 | 22051 2472 | 22063 2473 | 22067 2474 | 22073 2475 | 22079 2476 | 22091 2477 | 22093 2478 | 22109 2479 | 22111 2480 | 22123 2481 | 22129 2482 | 22133 2483 | 22147 2484 | 22153 2485 | 22157 2486 | 22159 2487 | 22171 2488 | 22189 2489 | 22193 2490 | 22229 2491 | 22247 2492 | 22259 2493 | 22271 2494 | 22273 2495 | 22277 2496 | 22279 2497 | 22283 2498 | 22291 2499 | 22303 2500 | 22307 2501 | 22343 2502 | 22349 2503 | 22367 2504 | 22369 2505 | 22381 2506 | 22391 2507 | 22397 2508 | 22409 2509 | 22433 2510 | 22441 2511 | 22447 2512 | 22453 2513 | 22469 2514 | 22481 2515 | 22483 2516 | 22501 2517 | 22511 2518 | 22531 2519 | 22541 2520 | 22543 2521 | 22549 2522 | 22567 2523 | 22571 2524 | 22573 2525 | 22613 2526 | 22619 2527 | 22621 2528 | 22637 2529 | 22639 2530 | 22643 2531 | 22651 2532 | 22669 2533 | 22679 2534 | 22691 2535 | 22697 2536 | 22699 2537 | 22709 2538 | 22717 2539 | 22721 2540 | 22727 2541 | 22739 2542 | 22741 2543 | 22751 2544 | 22769 2545 | 22777 2546 | 22783 2547 | 22787 2548 | 22807 2549 | 22811 2550 | 22817 2551 | 22853 2552 | 22859 2553 | 22861 2554 | 22871 2555 | 22877 2556 | 22901 2557 | 22907 2558 | 22921 2559 | 22937 2560 | 22943 2561 | 22961 2562 | 22963 2563 | 22973 2564 | 22993 2565 | 23003 2566 | 23011 2567 | 23017 2568 | 23021 2569 | 23027 2570 | 23029 2571 | 23039 2572 | 23041 2573 | 23053 2574 | 23057 2575 | 23059 2576 | 23063 2577 | 23071 2578 | 23081 2579 | 23087 2580 | 23099 2581 | 23117 2582 | 23131 2583 | 23143 2584 | 23159 2585 | 23167 2586 | 23173 2587 | 23189 2588 | 23197 2589 | 23201 2590 | 23203 2591 | 23209 2592 | 23227 2593 | 23251 2594 | 23269 2595 | 23279 2596 | 23291 2597 | 23293 2598 | 23297 2599 | 23311 2600 | 23321 2601 | 23327 2602 | 23333 2603 | 23339 2604 | 23357 2605 | 23369 2606 | 23371 2607 | 23399 2608 | 23417 2609 | 23431 2610 | 23447 2611 | 23459 2612 | 23473 2613 | 23497 2614 | 23509 2615 | 23531 2616 | 23537 2617 | 23539 2618 | 23549 2619 | 23557 2620 | 23561 2621 | 23563 2622 | 23567 2623 | 23581 2624 | 23593 2625 | 23599 2626 | 23603 2627 | 23609 2628 | 23623 2629 | 23627 2630 | 23629 2631 | 23633 2632 | 23663 2633 | 23669 2634 | 23671 2635 | 23677 2636 | 23687 2637 | 23689 2638 | 23719 2639 | 23741 2640 | 23743 2641 | 23747 2642 | 23753 2643 | 23761 2644 | 23767 2645 | 23773 2646 | 23789 2647 | 23801 2648 | 23813 2649 | 23819 2650 | 23827 2651 | 23831 2652 | 23833 2653 | 23857 2654 | 23869 2655 | 23873 2656 | 23879 2657 | 23887 2658 | 23893 2659 | 23899 2660 | 23909 2661 | 23911 2662 | 23917 2663 | 23929 2664 | 23957 2665 | 23971 2666 | 23977 2667 | 23981 2668 | 23993 2669 | 24001 2670 | 24007 2671 | 24019 2672 | 24023 2673 | 24029 2674 | 24043 2675 | 24049 2676 | 24061 2677 | 24071 2678 | 24077 2679 | 24083 2680 | 24091 2681 | 24097 2682 | 24103 2683 | 24107 2684 | 24109 2685 | 24113 2686 | 24121 2687 | 24133 2688 | 24137 2689 | 24151 2690 | 24169 2691 | 24179 2692 | 24181 2693 | 24197 2694 | 24203 2695 | 24223 2696 | 24229 2697 | 24239 2698 | 24247 2699 | 24251 2700 | 24281 2701 | 24317 2702 | 24329 2703 | 24337 2704 | 24359 2705 | 24371 2706 | 24373 2707 | 24379 2708 | 24391 2709 | 24407 2710 | 24413 2711 | 24419 2712 | 24421 2713 | 24439 2714 | 24443 2715 | 24469 2716 | 24473 2717 | 24481 2718 | 24499 2719 | 24509 2720 | 24517 2721 | 24527 2722 | 24533 2723 | 24547 2724 | 24551 2725 | 24571 2726 | 24593 2727 | 24611 2728 | 24623 2729 | 24631 2730 | 24659 2731 | 24671 2732 | 24677 2733 | 24683 2734 | 24691 2735 | 24697 2736 | 24709 2737 | 24733 2738 | 24749 2739 | 24763 2740 | 24767 2741 | 24781 2742 | 24793 2743 | 24799 2744 | 24809 2745 | 24821 2746 | 24841 2747 | 24847 2748 | 24851 2749 | 24859 2750 | 24877 2751 | 24889 2752 | 24907 2753 | 24917 2754 | 24919 2755 | 24923 2756 | 24943 2757 | 24953 2758 | 24967 2759 | 24971 2760 | 24977 2761 | 24979 2762 | 24989 2763 | 25013 2764 | 25031 2765 | 25033 2766 | 25037 2767 | 25057 2768 | 25073 2769 | 25087 2770 | 25097 2771 | 25111 2772 | 25117 2773 | 25121 2774 | 25127 2775 | 25147 2776 | 25153 2777 | 25163 2778 | 25169 2779 | 25171 2780 | 25183 2781 | 25189 2782 | 25219 2783 | 25229 2784 | 25237 2785 | 25243 2786 | 25247 2787 | 25253 2788 | 25261 2789 | 25301 2790 | 25303 2791 | 25307 2792 | 25309 2793 | 25321 2794 | 25339 2795 | 25343 2796 | 25349 2797 | 25357 2798 | 25367 2799 | 25373 2800 | 25391 2801 | 25409 2802 | 25411 2803 | 25423 2804 | 25439 2805 | 25447 2806 | 25453 2807 | 25457 2808 | 25463 2809 | 25469 2810 | 25471 2811 | 25523 2812 | 25537 2813 | 25541 2814 | 25561 2815 | 25577 2816 | 25579 2817 | 25583 2818 | 25589 2819 | 25601 2820 | 25603 2821 | 25609 2822 | 25621 2823 | 25633 2824 | 25639 2825 | 25643 2826 | 25657 2827 | 25667 2828 | 25673 2829 | 25679 2830 | 25693 2831 | 25703 2832 | 25717 2833 | 25733 2834 | 25741 2835 | 25747 2836 | 25759 2837 | 25763 2838 | 25771 2839 | 25793 2840 | 25799 2841 | 25801 2842 | 25819 2843 | 25841 2844 | 25847 2845 | 25849 2846 | 25867 2847 | 25873 2848 | 25889 2849 | 25903 2850 | 25913 2851 | 25919 2852 | 25931 2853 | 25933 2854 | 25939 2855 | 25943 2856 | 25951 2857 | 25969 2858 | 25981 2859 | 25997 2860 | 25999 2861 | 26003 2862 | 26017 2863 | 26021 2864 | 26029 2865 | 26041 2866 | 26053 2867 | 26083 2868 | 26099 2869 | 26107 2870 | 26111 2871 | 26113 2872 | 26119 2873 | 26141 2874 | 26153 2875 | 26161 2876 | 26171 2877 | 26177 2878 | 26183 2879 | 26189 2880 | 26203 2881 | 26209 2882 | 26227 2883 | 26237 2884 | 26249 2885 | 26251 2886 | 26261 2887 | 26263 2888 | 26267 2889 | 26293 2890 | 26297 2891 | 26309 2892 | 26317 2893 | 26321 2894 | 26339 2895 | 26347 2896 | 26357 2897 | 26371 2898 | 26387 2899 | 26393 2900 | 26399 2901 | 26407 2902 | 26417 2903 | 26423 2904 | 26431 2905 | 26437 2906 | 26449 2907 | 26459 2908 | 26479 2909 | 26489 2910 | 26497 2911 | 26501 2912 | 26513 2913 | 26539 2914 | 26557 2915 | 26561 2916 | 26573 2917 | 26591 2918 | 26597 2919 | 26627 2920 | 26633 2921 | 26641 2922 | 26647 2923 | 26669 2924 | 26681 2925 | 26683 2926 | 26687 2927 | 26693 2928 | 26699 2929 | 26701 2930 | 26711 2931 | 26713 2932 | 26717 2933 | 26723 2934 | 26729 2935 | 26731 2936 | 26737 2937 | 26759 2938 | 26777 2939 | 26783 2940 | 26801 2941 | 26813 2942 | 26821 2943 | 26833 2944 | 26839 2945 | 26849 2946 | 26861 2947 | 26863 2948 | 26879 2949 | 26881 2950 | 26891 2951 | 26893 2952 | 26903 2953 | 26921 2954 | 26927 2955 | 26947 2956 | 26951 2957 | 26953 2958 | 26959 2959 | 26981 2960 | 26987 2961 | 26993 2962 | 27011 2963 | 27017 2964 | 27031 2965 | 27043 2966 | 27059 2967 | 27061 2968 | 27067 2969 | 27073 2970 | 27077 2971 | 27091 2972 | 27103 2973 | 27107 2974 | 27109 2975 | 27127 2976 | 27143 2977 | 27179 2978 | 27191 2979 | 27197 2980 | 27211 2981 | 27239 2982 | 27241 2983 | 27253 2984 | 27259 2985 | 27271 2986 | 27277 2987 | 27281 2988 | 27283 2989 | 27299 2990 | 27329 2991 | 27337 2992 | 27361 2993 | 27367 2994 | 27397 2995 | 27407 2996 | 27409 2997 | 27427 2998 | 27431 2999 | 27437 3000 | 27449 3001 | 27457 3002 | 27479 3003 | 27481 3004 | 27487 3005 | 27509 3006 | 27527 3007 | 27529 3008 | 27539 3009 | 27541 3010 | 27551 3011 | 27581 3012 | 27583 3013 | 27611 3014 | 27617 3015 | 27631 3016 | 27647 3017 | 27653 3018 | 27673 3019 | 27689 3020 | 27691 3021 | 27697 3022 | 27701 3023 | 27733 3024 | 27737 3025 | 27739 3026 | 27743 3027 | 27749 3028 | 27751 3029 | 27763 3030 | 27767 3031 | 27773 3032 | 27779 3033 | 27791 3034 | 27793 3035 | 27799 3036 | 27803 3037 | 27809 3038 | 27817 3039 | 27823 3040 | 27827 3041 | 27847 3042 | 27851 3043 | 27883 3044 | 27893 3045 | 27901 3046 | 27917 3047 | 27919 3048 | 27941 3049 | 27943 3050 | 27947 3051 | 27953 3052 | 27961 3053 | 27967 3054 | 27983 3055 | 27997 3056 | 28001 3057 | 28019 3058 | 28027 3059 | 28031 3060 | 28051 3061 | 28057 3062 | 28069 3063 | 28081 3064 | 28087 3065 | 28097 3066 | 28099 3067 | 28109 3068 | 28111 3069 | 28123 3070 | 28151 3071 | 28163 3072 | 28181 3073 | 28183 3074 | 28201 3075 | 28211 3076 | 28219 3077 | 28229 3078 | 28277 3079 | 28279 3080 | 28283 3081 | 28289 3082 | 28297 3083 | 28307 3084 | 28309 3085 | 28319 3086 | 28349 3087 | 28351 3088 | 28387 3089 | 28393 3090 | 28403 3091 | 28409 3092 | 28411 3093 | 28429 3094 | 28433 3095 | 28439 3096 | 28447 3097 | 28463 3098 | 28477 3099 | 28493 3100 | 28499 3101 | 28513 3102 | 28517 3103 | 28537 3104 | 28541 3105 | 28547 3106 | 28549 3107 | 28559 3108 | 28571 3109 | 28573 3110 | 28579 3111 | 28591 3112 | 28597 3113 | 28603 3114 | 28607 3115 | 28619 3116 | 28621 3117 | 28627 3118 | 28631 3119 | 28643 3120 | 28649 3121 | 28657 3122 | 28661 3123 | 28663 3124 | 28669 3125 | 28687 3126 | 28697 3127 | 28703 3128 | 28711 3129 | 28723 3130 | 28729 3131 | 28751 3132 | 28753 3133 | 28759 3134 | 28771 3135 | 28789 3136 | 28793 3137 | 28807 3138 | 28813 3139 | 28817 3140 | 28837 3141 | 28843 3142 | 28859 3143 | 28867 3144 | 28871 3145 | 28879 3146 | 28901 3147 | 28909 3148 | 28921 3149 | 28927 3150 | 28933 3151 | 28949 3152 | 28961 3153 | 28979 3154 | 29009 3155 | 29017 3156 | 29021 3157 | 29023 3158 | 29027 3159 | 29033 3160 | 29059 3161 | 29063 3162 | 29077 3163 | 29101 3164 | 29123 3165 | 29129 3166 | 29131 3167 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| 30809 3322 | 30817 3323 | 30829 3324 | 30839 3325 | 30841 3326 | 30851 3327 | 30853 3328 | 30859 3329 | 30869 3330 | 30871 3331 | 30881 3332 | 30893 3333 | 30911 3334 | 30931 3335 | 30937 3336 | 30941 3337 | 30949 3338 | 30971 3339 | 30977 3340 | 30983 3341 | 31013 3342 | 31019 3343 | 31033 3344 | 31039 3345 | 31051 3346 | 31063 3347 | 31069 3348 | 31079 3349 | 31081 3350 | 31091 3351 | 31121 3352 | 31123 3353 | 31139 3354 | 31147 3355 | 31151 3356 | 31153 3357 | 31159 3358 | 31177 3359 | 31181 3360 | 31183 3361 | 31189 3362 | 31193 3363 | 31219 3364 | 31223 3365 | 31231 3366 | 31237 3367 | 31247 3368 | 31249 3369 | 31253 3370 | 31259 3371 | 31267 3372 | 31271 3373 | 31277 3374 | 31307 3375 | 31319 3376 | 31321 3377 | 31327 3378 | 31333 3379 | 31337 3380 | 31357 3381 | 31379 3382 | 31387 3383 | 31391 3384 | 31393 3385 | 31397 3386 | 31469 3387 | 31477 3388 | 31481 3389 | 31489 3390 | 31511 3391 | 31513 3392 | 31517 3393 | 31531 3394 | 31541 3395 | 31543 3396 | 31547 3397 | 31567 3398 | 31573 3399 | 31583 3400 | 31601 3401 | 31607 3402 | 31627 3403 | 31643 3404 | 31649 3405 | 31657 3406 | 31663 3407 | 31667 3408 | 31687 3409 | 31699 3410 | 31721 3411 | 31723 3412 | 31727 3413 | 31729 3414 | 31741 3415 | 31751 3416 | 31769 3417 | 31771 3418 | 31793 3419 | 31799 3420 | 31817 3421 | 31847 3422 | 31849 3423 | 31859 3424 | 31873 3425 | 31883 3426 | 31891 3427 | 31907 3428 | 31957 3429 | 31963 3430 | 31973 3431 | 31981 3432 | 31991 3433 | 32003 3434 | 32009 3435 | 32027 3436 | 32029 3437 | 32051 3438 | 32057 3439 | 32059 3440 | 32063 3441 | 32069 3442 | 32077 3443 | 32083 3444 | 32089 3445 | 32099 3446 | 32117 3447 | 32119 3448 | 32141 3449 | 32143 3450 | 32159 3451 | 32173 3452 | 32183 3453 | 32189 3454 | 32191 3455 | 32203 3456 | 32213 3457 | 32233 3458 | 32237 3459 | 32251 3460 | 32257 3461 | 32261 3462 | 32297 3463 | 32299 3464 | 32303 3465 | 32309 3466 | 32321 3467 | 32323 3468 | 32327 3469 | 32341 3470 | 32353 3471 | 32359 3472 | 32363 3473 | 32369 3474 | 32371 3475 | 32377 3476 | 32381 3477 | 32401 3478 | 32411 3479 | 32413 3480 | 32423 3481 | 32429 3482 | 32441 3483 | 32443 3484 | 32467 3485 | 32479 3486 | 32491 3487 | 32497 3488 | 32503 3489 | 32507 3490 | 32531 3491 | 32533 3492 | 32537 3493 | 32561 3494 | 32563 3495 | 32569 3496 | 32573 3497 | 32579 3498 | 32587 3499 | 32603 3500 | 32609 3501 | 32611 3502 | 32621 3503 | 32633 3504 | 32647 3505 | 32653 3506 | 32687 3507 | 32693 3508 | 32707 3509 | 32713 3510 | 32717 3511 | 32719 3512 | 32749 3513 | 32771 3514 | 32779 3515 | 32783 3516 | 32789 3517 | 32797 3518 | 32801 3519 | 32803 3520 | 32831 3521 | 32833 3522 | 32839 3523 | 32843 3524 | 32869 3525 | 32887 3526 | 32909 3527 | 32911 3528 | 32917 3529 | 32933 3530 | 32939 3531 | 32941 3532 | 32957 3533 | 32969 3534 | 32971 3535 | 32983 3536 | 32987 3537 | 32993 3538 | 32999 3539 | 33013 3540 | 33023 3541 | 33029 3542 | 33037 3543 | 33049 3544 | 33053 3545 | 33071 3546 | 33073 3547 | 33083 3548 | 33091 3549 | 33107 3550 | 33113 3551 | 33119 3552 | 33149 3553 | 33151 3554 | 33161 3555 | 33179 3556 | 33181 3557 | 33191 3558 | 33199 3559 | 33203 3560 | 33211 3561 | 33223 3562 | 33247 3563 | 33287 3564 | 33289 3565 | 33301 3566 | 33311 3567 | 33317 3568 | 33329 3569 | 33331 3570 | 33343 3571 | 33347 3572 | 33349 3573 | 33353 3574 | 33359 3575 | 33377 3576 | 33391 3577 | 33403 3578 | 33409 3579 | 33413 3580 | 33427 3581 | 33457 3582 | 33461 3583 | 33469 3584 | 33479 3585 | 33487 3586 | 33493 3587 | 33503 3588 | 33521 3589 | 33529 3590 | 33533 3591 | 33547 3592 | 33563 3593 | 33569 3594 | 33577 3595 | 33581 3596 | 33587 3597 | 33589 3598 | 33599 3599 | 33601 3600 | 33613 3601 | 33617 3602 | 33619 3603 | 33623 3604 | 33629 3605 | 33637 3606 | 33641 3607 | 33647 3608 | 33679 3609 | 33703 3610 | 33713 3611 | 33721 3612 | 33739 3613 | 33749 3614 | 33751 3615 | 33757 3616 | 33767 3617 | 33769 3618 | 33773 3619 | 33791 3620 | 33797 3621 | 33809 3622 | 33811 3623 | 33827 3624 | 33829 3625 | 33851 3626 | 33857 3627 | 33863 3628 | 33871 3629 | 33889 3630 | 33893 3631 | 33911 3632 | 33923 3633 | 33931 3634 | 33937 3635 | 33941 3636 | 33961 3637 | 33967 3638 | 33997 3639 | 34019 3640 | 34031 3641 | 34033 3642 | 34039 3643 | 34057 3644 | 34061 3645 | 34123 3646 | 34127 3647 | 34129 3648 | 34141 3649 | 34147 3650 | 34157 3651 | 34159 3652 | 34171 3653 | 34183 3654 | 34211 3655 | 34213 3656 | 34217 3657 | 34231 3658 | 34253 3659 | 34259 3660 | 34261 3661 | 34267 3662 | 34273 3663 | 34283 3664 | 34297 3665 | 34301 3666 | 34303 3667 | 34313 3668 | 34319 3669 | 34327 3670 | 34337 3671 | 34351 3672 | 34361 3673 | 34367 3674 | 34369 3675 | 34381 3676 | 34403 3677 | 34421 3678 | 34429 3679 | 34439 3680 | 34457 3681 | 34469 3682 | 34471 3683 | 34483 3684 | 34487 3685 | 34499 3686 | 34501 3687 | 34511 3688 | 34513 3689 | 34519 3690 | 34537 3691 | 34543 3692 | 34549 3693 | 34583 3694 | 34589 3695 | 34591 3696 | 34603 3697 | 34607 3698 | 34613 3699 | 34631 3700 | 34649 3701 | 34651 3702 | 34667 3703 | 34673 3704 | 34679 3705 | 34687 3706 | 34693 3707 | 34703 3708 | 34721 3709 | 34729 3710 | 34739 3711 | 34747 3712 | 34757 3713 | 34759 3714 | 34763 3715 | 34781 3716 | 34807 3717 | 34819 3718 | 34841 3719 | 34843 3720 | 34847 3721 | 34849 3722 | 34871 3723 | 34877 3724 | 34883 3725 | 34897 3726 | 34913 3727 | 34919 3728 | 34939 3729 | 34949 3730 | 34961 3731 | 34963 3732 | 34981 3733 | 35023 3734 | 35027 3735 | 35051 3736 | 35053 3737 | 35059 3738 | 35069 3739 | 35081 3740 | 35083 3741 | 35089 3742 | 35099 3743 | 35107 3744 | 35111 3745 | 35117 3746 | 35129 3747 | 35141 3748 | 35149 3749 | 35153 3750 | 35159 3751 | 35171 3752 | 35201 3753 | 35221 3754 | 35227 3755 | 35251 3756 | 35257 3757 | 35267 3758 | 35279 3759 | 35281 3760 | 35291 3761 | 35311 3762 | 35317 3763 | 35323 3764 | 35327 3765 | 35339 3766 | 35353 3767 | 35363 3768 | 35381 3769 | 35393 3770 | 35401 3771 | 35407 3772 | 35419 3773 | 35423 3774 | 35437 3775 | 35447 3776 | 35449 3777 | 35461 3778 | 35491 3779 | 35507 3780 | 35509 3781 | 35521 3782 | 35527 3783 | 35531 3784 | 35533 3785 | 35537 3786 | 35543 3787 | 35569 3788 | 35573 3789 | 35591 3790 | 35593 3791 | 35597 3792 | 35603 3793 | 35617 3794 | 35671 3795 | 35677 3796 | 35729 3797 | 35731 3798 | 35747 3799 | 35753 3800 | 35759 3801 | 35771 3802 | 35797 3803 | 35801 3804 | 35803 3805 | 35809 3806 | 35831 3807 | 35837 3808 | 35839 3809 | 35851 3810 | 35863 3811 | 35869 3812 | 35879 3813 | 35897 3814 | 35899 3815 | 35911 3816 | 35923 3817 | 35933 3818 | 35951 3819 | 35963 3820 | 35969 3821 | 35977 3822 | 35983 3823 | 35993 3824 | 35999 3825 | 36007 3826 | 36011 3827 | 36013 3828 | 36017 3829 | 36037 3830 | 36061 3831 | 36067 3832 | 36073 3833 | 36083 3834 | 36097 3835 | 36107 3836 | 36109 3837 | 36131 3838 | 36137 3839 | 36151 3840 | 36161 3841 | 36187 3842 | 36191 3843 | 36209 3844 | 36217 3845 | 36229 3846 | 36241 3847 | 36251 3848 | 36263 3849 | 36269 3850 | 36277 3851 | 36293 3852 | 36299 3853 | 36307 3854 | 36313 3855 | 36319 3856 | 36341 3857 | 36343 3858 | 36353 3859 | 36373 3860 | 36383 3861 | 36389 3862 | 36433 3863 | 36451 3864 | 36457 3865 | 36467 3866 | 36469 3867 | 36473 3868 | 36479 3869 | 36493 3870 | 36497 3871 | 36523 3872 | 36527 3873 | 36529 3874 | 36541 3875 | 36551 3876 | 36559 3877 | 36563 3878 | 36571 3879 | 36583 3880 | 36587 3881 | 36599 3882 | 36607 3883 | 36629 3884 | 36637 3885 | 36643 3886 | 36653 3887 | 36671 3888 | 36677 3889 | 36683 3890 | 36691 3891 | 36697 3892 | 36709 3893 | 36713 3894 | 36721 3895 | 36739 3896 | 36749 3897 | 36761 3898 | 36767 3899 | 36779 3900 | 36781 3901 | 36787 3902 | 36791 3903 | 36793 3904 | 36809 3905 | 36821 3906 | 36833 3907 | 36847 3908 | 36857 3909 | 36871 3910 | 36877 3911 | 36887 3912 | 36899 3913 | 36901 3914 | 36913 3915 | 36919 3916 | 36923 3917 | 36929 3918 | 36931 3919 | 36943 3920 | 36947 3921 | 36973 3922 | 36979 3923 | 36997 3924 | 37003 3925 | 37013 3926 | 37019 3927 | 37021 3928 | 37039 3929 | 37049 3930 | 37057 3931 | 37061 3932 | 37087 3933 | 37097 3934 | 37117 3935 | 37123 3936 | 37139 3937 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| 37987 4015 | 37991 4016 | 37993 4017 | 37997 4018 | 38011 4019 | 38039 4020 | 38047 4021 | 38053 4022 | 38069 4023 | 38083 4024 | 38113 4025 | 38119 4026 | 38149 4027 | 38153 4028 | 38167 4029 | 38177 4030 | 38183 4031 | 38189 4032 | 38197 4033 | 38201 4034 | 38219 4035 | 38231 4036 | 38237 4037 | 38239 4038 | 38261 4039 | 38273 4040 | 38281 4041 | 38287 4042 | 38299 4043 | 38303 4044 | 38317 4045 | 38321 4046 | 38327 4047 | 38329 4048 | 38333 4049 | 38351 4050 | 38371 4051 | 38377 4052 | 38393 4053 | 38431 4054 | 38447 4055 | 38449 4056 | 38453 4057 | 38459 4058 | 38461 4059 | 38501 4060 | 38543 4061 | 38557 4062 | 38561 4063 | 38567 4064 | 38569 4065 | 38593 4066 | 38603 4067 | 38609 4068 | 38611 4069 | 38629 4070 | 38639 4071 | 38651 4072 | 38653 4073 | 38669 4074 | 38671 4075 | 38677 4076 | 38693 4077 | 38699 4078 | 38707 4079 | 38711 4080 | 38713 4081 | 38723 4082 | 38729 4083 | 38737 4084 | 38747 4085 | 38749 4086 | 38767 4087 | 38783 4088 | 38791 4089 | 38803 4090 | 38821 4091 | 38833 4092 | 38839 4093 | 38851 4094 | 38861 4095 | 38867 4096 | 38873 4097 | 38891 4098 | 38903 4099 | 38917 4100 | 38921 4101 | 38923 4102 | 38933 4103 | 38953 4104 | 38959 4105 | 38971 4106 | 38977 4107 | 38993 4108 | 39019 4109 | 39023 4110 | 39041 4111 | 39043 4112 | 39047 4113 | 39079 4114 | 39089 4115 | 39097 4116 | 39103 4117 | 39107 4118 | 39113 4119 | 39119 4120 | 39133 4121 | 39139 4122 | 39157 4123 | 39161 4124 | 39163 4125 | 39181 4126 | 39191 4127 | 39199 4128 | 39209 4129 | 39217 4130 | 39227 4131 | 39229 4132 | 39233 4133 | 39239 4134 | 39241 4135 | 39251 4136 | 39293 4137 | 39301 4138 | 39313 4139 | 39317 4140 | 39323 4141 | 39341 4142 | 39343 4143 | 39359 4144 | 39367 4145 | 39371 4146 | 39373 4147 | 39383 4148 | 39397 4149 | 39409 4150 | 39419 4151 | 39439 4152 | 39443 4153 | 39451 4154 | 39461 4155 | 39499 4156 | 39503 4157 | 39509 4158 | 39511 4159 | 39521 4160 | 39541 4161 | 39551 4162 | 39563 4163 | 39569 4164 | 39581 4165 | 39607 4166 | 39619 4167 | 39623 4168 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| 98773 9482 | 98779 9483 | 98801 9484 | 98807 9485 | 98809 9486 | 98837 9487 | 98849 9488 | 98867 9489 | 98869 9490 | 98873 9491 | 98887 9492 | 98893 9493 | 98897 9494 | 98899 9495 | 98909 9496 | 98911 9497 | 98927 9498 | 98929 9499 | 98939 9500 | 98947 9501 | 98953 9502 | 98963 9503 | 98981 9504 | 98993 9505 | 98999 9506 | 99013 9507 | 99017 9508 | 99023 9509 | 99041 9510 | 99053 9511 | 99079 9512 | 99083 9513 | 99089 9514 | 99103 9515 | 99109 9516 | 99119 9517 | 99131 9518 | 99133 9519 | 99137 9520 | 99139 9521 | 99149 9522 | 99173 9523 | 99181 9524 | 99191 9525 | 99223 9526 | 99233 9527 | 99241 9528 | 99251 9529 | 99257 9530 | 99259 9531 | 99277 9532 | 99289 9533 | 99317 9534 | 99347 9535 | 99349 9536 | 99367 9537 | 99371 9538 | 99377 9539 | 99391 9540 | 99397 9541 | 99401 9542 | 99409 9543 | 99431 9544 | 99439 9545 | 99469 9546 | 99487 9547 | 99497 9548 | 99523 9549 | 99527 9550 | 99529 9551 | 99551 9552 | 99559 9553 | 99563 9554 | 99571 9555 | 99577 9556 | 99581 9557 | 99607 9558 | 99611 9559 | 99623 9560 | 99643 9561 | 99661 9562 | 99667 9563 | 99679 9564 | 99689 9565 | 99707 9566 | 99709 9567 | 99713 9568 | 99719 9569 | 99721 9570 | 99733 9571 | 99761 9572 | 99767 9573 | 99787 9574 | 99793 9575 | 99809 9576 | 99817 9577 | 99823 9578 | 99829 9579 | 99833 9580 | 99839 9581 | 99859 9582 | 99871 9583 | 99877 9584 | 99881 9585 | 99901 9586 | 99907 9587 | 99923 9588 | 99929 9589 | 99961 9590 | 99971 9591 | 99989 9592 | 99991 9593 | -------------------------------------------------------------------------------- /rsa.py: -------------------------------------------------------------------------------- 1 | """ 2 | This program implements the RSA algorithm for cryptography. 3 | It randomly selects two prime numbers from a txt file of prime numbers and 4 | uses them to produce the public and private keys. Using the keys, it can 5 | either encrypt or decrypt messages. 6 | """ 7 | 8 | import random 9 | 10 | def gcd(a, b): 11 | """ 12 | Performs the Euclidean algorithm and returns the gcd of a and b 13 | """ 14 | if (b == 0): 15 | return a 16 | else: 17 | return gcd(b, a % b) 18 | 19 | def xgcd(a, b): 20 | """ 21 | Performs the extended Euclidean algorithm 22 | Returns the gcd, coefficient of a, and coefficient of b 23 | """ 24 | x, old_x = 0, 1 25 | y, old_y = 1, 0 26 | 27 | while (b != 0): 28 | quotient = a // b 29 | a, b = b, a - quotient * b 30 | old_x, x = x, old_x - quotient * x 31 | old_y, y = y, old_y - quotient * y 32 | 33 | return a, old_x, old_y 34 | 35 | def chooseE(totient): 36 | """ 37 | Chooses a random number, 1 < e < totient, and checks whether or not it is 38 | coprime with the totient, that is, gcd(e, totient) = 1 39 | """ 40 | while (True): 41 | e = random.randrange(2, totient) 42 | 43 | if (gcd(e, totient) == 1): 44 | return e 45 | 46 | def chooseKeys(): 47 | """ 48 | Selects two random prime numbers from a list of prime numbers which has 49 | values that go up to 100k. It creates a text file and stores the two 50 | numbers there where they can be used later. Using the prime numbers, 51 | it also computes and stores the public and private keys in two separate 52 | files. 53 | """ 54 | 55 | # choose two random numbers within the range of lines where 56 | # the prime numbers are not too small and not too big 57 | rand1 = random.randint(100, 300) 58 | rand2 = random.randint(100, 300) 59 | 60 | # store the txt file of prime numbers in a python list 61 | fo = open('primes-to-100k.txt', 'r') 62 | lines = fo.read().splitlines() 63 | fo.close() 64 | 65 | # store our prime numbers in these variables 66 | prime1 = int(lines[rand1]) 67 | prime2 = int(lines[rand2]) 68 | 69 | # compute n, totient, e 70 | n = prime1 * prime2 71 | totient = (prime1 - 1) * (prime2 - 1) 72 | e = chooseE(totient) 73 | 74 | # compute d, 1 < d < totient such that ed = 1 (mod totient) 75 | # e and d are inverses (mod totient) 76 | gcd, x, y = xgcd(e, totient) 77 | 78 | # make sure d is positive 79 | if (x < 0): 80 | d = x + totient 81 | else: 82 | d = x 83 | 84 | # write the public keys n and e to a file 85 | f_public = open('public_keys.txt', 'w') 86 | f_public.write(str(n) + '\n') 87 | f_public.write(str(e) + '\n') 88 | f_public.close() 89 | 90 | f_private = open('private_keys.txt', 'w') 91 | f_private.write(str(n) + '\n') 92 | f_private.write(str(d) + '\n') 93 | f_private.close() 94 | 95 | def encrypt(message, file_name = 'public_keys.txt', block_size = 2): 96 | """ 97 | Encrypts a message (string) by raising each character's ASCII value to the 98 | power of e and taking the modulus of n. Returns a string of numbers. 99 | file_name refers to file where the public key is located. If a file is not 100 | provided, it assumes that we are encrypting the message using our own 101 | public keys. Otherwise, it can use someone else's public key, which is 102 | stored in a different file. 103 | block_size refers to how many characters make up one group of numbers in 104 | each index of encrypted_blocks. 105 | """ 106 | 107 | try: 108 | fo = open(file_name, 'r') 109 | 110 | # check for the possibility that the user tries to encrypt something 111 | # using a public key that is not found 112 | except FileNotFoundError: 113 | print('That file is not found.') 114 | else: 115 | n = int(fo.readline()) 116 | e = int(fo.readline()) 117 | fo.close() 118 | 119 | encrypted_blocks = [] 120 | ciphertext = -1 121 | 122 | if (len(message) > 0): 123 | # initialize ciphertext to the ASCII of the first character of message 124 | ciphertext = ord(message[0]) 125 | 126 | for i in range(1, len(message)): 127 | # add ciphertext to the list if the max block size is reached 128 | # reset ciphertext so we can continue adding ASCII codes 129 | if (i % block_size == 0): 130 | encrypted_blocks.append(ciphertext) 131 | ciphertext = 0 132 | 133 | # multiply by 1000 to shift the digits over to the left by 3 places 134 | # because ASCII codes are a max of 3 digits in decimal 135 | ciphertext = ciphertext * 1000 + ord(message[i]) 136 | 137 | # add the last block to the list 138 | encrypted_blocks.append(ciphertext) 139 | 140 | # encrypt all of the numbers by taking it to the power of e 141 | # and modding it by n 142 | for i in range(len(encrypted_blocks)): 143 | encrypted_blocks[i] = str((encrypted_blocks[i]**e) % n) 144 | 145 | # create a string from the numbers 146 | encrypted_message = " ".join(encrypted_blocks) 147 | 148 | return encrypted_message 149 | 150 | def decrypt(blocks, block_size = 2): 151 | """ 152 | Decrypts a string of numbers by raising each number to the power of d and 153 | taking the modulus of n. Returns the message as a string. 154 | block_size refers to how many characters make up one group of numbers in 155 | each index of blocks. 156 | """ 157 | 158 | fo = open('private_keys.txt', 'r') 159 | n = int(fo.readline()) 160 | d = int(fo.readline()) 161 | fo.close() 162 | 163 | # turns the string into a list of ints 164 | list_blocks = blocks.split(' ') 165 | int_blocks = [] 166 | 167 | for s in list_blocks: 168 | int_blocks.append(int(s)) 169 | 170 | message = "" 171 | 172 | # converts each int in the list to block_size number of characters 173 | # by default, each int represents two characters 174 | for i in range(len(int_blocks)): 175 | # decrypt all of the numbers by taking it to the power of d 176 | # and modding it by n 177 | int_blocks[i] = (int_blocks[i]**d) % n 178 | 179 | tmp = "" 180 | # take apart each block into its ASCII codes for each character 181 | # and store it in the message string 182 | for c in range(block_size): 183 | tmp = chr(int_blocks[i] % 1000) + tmp 184 | int_blocks[i] //= 1000 185 | message += tmp 186 | 187 | return message 188 | 189 | def main(): 190 | # we select our primes and generate our public and private keys, 191 | # usually done once 192 | choose_again = input('Do you want to generate new public and private keys? (y or n) ') 193 | if (choose_again == 'y'): 194 | chooseKeys() 195 | 196 | instruction = input('Would you like to encrypt or decrypt? (Enter e or d): ') 197 | if (instruction == 'e'): 198 | message = input('What would you like to encrypt?\n') 199 | option = input('Do you want to encrypt using your own public key? (y or n) ') 200 | 201 | if (option == 'y'): 202 | print('Encrypting...') 203 | print(encrypt(message)) 204 | else: 205 | file_option = input('Enter the file name that stores the public key: ') 206 | print('Encrypting...') 207 | print(encrypt(message, file_option)) 208 | 209 | elif (instruction == 'd'): 210 | message = input('What would you like to decrypt?\n') 211 | print('Decryption...') 212 | print(decrypt(message)) 213 | else: 214 | print('That is not a proper instruction.') 215 | 216 | main() --------------------------------------------------------------------------------