├── .gitignore
    └── .gitignore
└── Prime
    ├── Prime.xcodeproj
        ├── project.pbxproj
        └── project.xcworkspace
        │   ├── contents.xcworkspacedata
        │   └── xcshareddata
        │       └── IDEWorkspaceChecks.plist
    └── Prime
        └── main.swift


/.gitignore/.gitignore:
--------------------------------------------------------------------------------
 1 | # Xcode
 2 | #
 3 | # gitignore contributors: remember to update Global/Xcode.gitignore, Objective-C.gitignore & Swift.gitignore
 4 | 
 5 | ## Build generated
 6 | build/
 7 | DerivedData/
 8 | 
 9 | ## Various settings
10 | *.pbxuser
11 | !default.pbxuser
12 | *.mode1v3
13 | !default.mode1v3
14 | *.mode2v3
15 | !default.mode2v3
16 | *.perspectivev3
17 | !default.perspectivev3
18 | xcuserdata/
19 | 
20 | ## Other
21 | *.moved-aside
22 | *.xccheckout
23 | *.xcscmblueprint
24 | 
25 | ## Obj-C/Swift specific
26 | *.hmap
27 | *.ipa
28 | *.dSYM.zip
29 | *.dSYM
30 | 
31 | ## Playgrounds
32 | timeline.xctimeline
33 | playground.xcworkspace
34 | 
35 | # Swift Package Manager
36 | #
37 | # Add this line if you want to avoid checking in source code from Swift Package Manager dependencies.
38 | # Packages/
39 | # Package.pins
40 | # Package.resolved
41 | .build/
42 | 
43 | # CocoaPods
44 | #
45 | # We recommend against adding the Pods directory to your .gitignore. However
46 | # you should judge for yourself, the pros and cons are mentioned at:
47 | # https://guides.cocoapods.org/using/using-cocoapods.html#should-i-check-the-pods-directory-into-source-control
48 | #
49 | # Pods/
50 | 
51 | # Carthage
52 | #
53 | # Add this line if you want to avoid checking in source code from Carthage dependencies.
54 | # Carthage/Checkouts
55 | 
56 | Carthage/Build
57 | 
58 | # fastlane
59 | #
60 | # It is recommended to not store the screenshots in the git repo. Instead, use fastlane to re-generate the
61 | # screenshots whenever they are needed.
62 | # For more information about the recommended setup visit:
63 | # https://docs.fastlane.tools/best-practices/source-control/#source-control
64 | 
65 | fastlane/report.xml
66 | fastlane/Preview.html
67 | fastlane/screenshots/**/*.png
68 | fastlane/test_output
69 | 


--------------------------------------------------------------------------------
/Prime/Prime.xcodeproj/project.pbxproj:
--------------------------------------------------------------------------------
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 60 | 				55F77C2422DAF28A005F6861 /* main.swift */,
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 62 | 			path = Prime;
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 65 | /* End PBXGroup section */
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 70 | 			buildConfigurationList = 55F77C2822DAF28A005F6861 /* Build configuration list for PBXNativeTarget "Prime" */;
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 74 | 				55F77C1F22DAF28A005F6861 /* CopyFiles */,
 75 | 			);
 76 | 			buildRules = (
 77 | 			);
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 80 | 			name = Prime;
 81 | 			productName = Prime;
 82 | 			productReference = 55F77C2122DAF28A005F6861 /* Prime */;
 83 | 			productType = "com.apple.product-type.tool";
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266 | 			isa = XCConfigurationList;
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268 | 				55F77C2622DAF28A005F6861 /* Debug */,
269 | 				55F77C2722DAF28A005F6861 /* Release */,
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277 | 				55F77C2922DAF28A005F6861 /* Debug */,
278 | 				55F77C2A22DAF28A005F6861 /* Release */,
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284 | 	};
285 | 	rootObject = 55F77C1922DAF28A005F6861 /* Project object */;
286 | }
287 | 


--------------------------------------------------------------------------------
/Prime/Prime.xcodeproj/project.xcworkspace/contents.xcworkspacedata:
--------------------------------------------------------------------------------
1 | <?xml version="1.0" encoding="UTF-8"?>
2 | <Workspace
3 |    version = "1.0">
4 |    <FileRef
5 |       location = "self:Prime.xcodeproj">
6 |    </FileRef>
7 | </Workspace>
8 | 


--------------------------------------------------------------------------------
/Prime/Prime.xcodeproj/project.xcworkspace/xcshareddata/IDEWorkspaceChecks.plist:
--------------------------------------------------------------------------------
1 | <?xml version="1.0" encoding="UTF-8"?>
2 | <!DOCTYPE plist PUBLIC "-//Apple//DTD PLIST 1.0//EN" "http://www.apple.com/DTDs/PropertyList-1.0.dtd">
3 | <plist version="1.0">
4 | <dict>
5 | 	<key>IDEDidComputeMac32BitWarning</key>
6 | 	<true/>
7 | </dict>
8 | </plist>
9 | 


--------------------------------------------------------------------------------
/Prime/Prime/main.swift:
--------------------------------------------------------------------------------
  1 | //
  2 | //  main.swift
  3 | //  Prime
  4 | //
  5 | //  Created by bearkode on 14/07/2019.
  6 | //  Copyright © 2019 bearkode. All rights reserved.
  7 | //
  8 | 
  9 | import Foundation
 10 | 
 11 | 
 12 | class PrimeFinder {
 13 | 
 14 |     init(max: Int) {
 15 |         self.max = max
 16 |     }
 17 | 
 18 |     func find() -> [Int] {
 19 |         self.prepare()
 20 |         self.checkOddNumbers()
 21 | 
 22 |         return self.primes
 23 |     }
 24 |     
 25 |     // MARK: - private
 26 | 
 27 |     private let max: Int
 28 |     private var primes: [Int] = []
 29 |     private var multiples: [Int] = []
 30 | 
 31 |     private func prepare() {
 32 |         self.primes = [2]
 33 |         self.multiples = [2]
 34 |     }
 35 |     
 36 |     private func checkOddNumbers() {
 37 |         var candidate = 3
 38 |         
 39 |         while self.primes.count < self.max {
 40 |             if self.isPrime(candidate) {
 41 |                 self.primes.append(candidate)
 42 |             }
 43 |             candidate += 2
 44 |         }
 45 |     }
 46 | 
 47 |     private func isPrime(_ candidate: Int) -> Bool {
 48 |         if self.isLeastRelevantMultipleOfNextLargerPrimeFactor(candidate: candidate) {
 49 |             self.multiples.append(candidate)
 50 |             return false
 51 |         }
 52 | 
 53 |         return self.isNotMultipleOfAnyPreviousPrimeFactors(candidate: candidate)
 54 |     }
 55 |     
 56 |     private func isNotMultipleOfAnyPreviousPrimeFactors(candidate: Int) -> Bool {
 57 |         for n in (0..<self.multiples.count) {
 58 |             if self.isMultipleOfPrimeFactor(candidate: candidate, nth: n) {
 59 |                 return false
 60 |             }
 61 |         }
 62 |         
 63 |         return true
 64 |     }
 65 | 
 66 |     private func isLeastRelevantMultipleOfNextLargerPrimeFactor(candidate: Int) -> Bool {
 67 |         let nextLargerPrimeFactor = self.nextLargerPrimeFactor
 68 |         let leastRelevantMultiple = nextLargerPrimeFactor * nextLargerPrimeFactor
 69 |         return candidate == leastRelevantMultiple
 70 |     }
 71 |     
 72 |     private var nextLargerPrimeFactor: Int {
 73 |         guard self.primes.count > self.multiples.count else {
 74 |             return 0
 75 |         }
 76 |         
 77 |         return self.primes[self.multiples.count]
 78 |     }
 79 |     
 80 |     private func isMultipleOfPrimeFactor(candidate: Int, nth: Int) -> Bool {
 81 |         return candidate == self.smallestOddMultiple(notLessThan: candidate, nth: nth)
 82 |     }
 83 |     
 84 |     private func smallestOddMultiple(notLessThan candidate: Int, nth n: Int) -> Int {
 85 |         var multiple = self.multiples[n]
 86 |         
 87 |         while multiple < candidate {
 88 |             multiple += (self.primes[n] * 2)
 89 |             self.multiples[n] = multiple
 90 |         }
 91 |         
 92 |         return multiple
 93 |     }
 94 | 
 95 | }
 96 | 
 97 | 
 98 | class NumberPrinter {
 99 | 
100 |     let rowsPerPage: Int
101 |     let columnCount: Int
102 |     
103 |     init(rowsPerPage: Int = 7, columnCount: Int = 5) {
104 |         self.rowsPerPage = rowsPerPage
105 |         self.columnCount = columnCount
106 |     }
107 |     
108 |     func printNumbers(_ numbers: [Int]) {
109 |         self.numbers = numbers
110 |         self.pageNumber = 1
111 |         self.pageOffset = 0
112 |         
113 |         while self.pageOffset < numbers.count {
114 |             self.printPage()
115 |             self.pageNumber = self.pageNumber + 1
116 |             self.pageOffset = self.pageOffset + self.rowsPerPage * self.columnCount
117 |         }
118 |     }
119 |     
120 |     private var numbers: [Int] = []
121 |     private var pageNumber: Int = 1
122 |     private var pageOffset: Int = 0
123 |     
124 |     private func printPage() {
125 |         self.printHeader()
126 |         
127 |         for rowOffset in self.pageOffset..<(self.pageOffset + self.rowsPerPage) {
128 |             self.printRow(rowOffset: rowOffset)
129 |         }
130 |     }
131 |     
132 |     private func printHeader() {
133 |         print("The First \(self.numbers.count) Prime Numbers --- page \(self.pageNumber)")
134 |     }
135 |     
136 |     private func printRow(rowOffset: Int) {
137 |         for column in 0..<self.columnCount {
138 |             self.printColumn(column: column, rowOffset: rowOffset)
139 |         }
140 |         print("")
141 |     }
142 |     
143 |     private func printColumn(column: Int, rowOffset: Int) {
144 |         let index = rowOffset + column * self.rowsPerPage
145 |         if index < self.numbers.count {
146 |             let num = String(format: "%10d", self.numbers[index])
147 |             print("\(num)", terminator: "")
148 |         }
149 |     }
150 | 
151 | }
152 | 
153 | 
154 | class PrintPrimes {
155 | 
156 |     static func main() {
157 |         let primes = PrimeFinder(max: 1000).find()
158 |         assert(primes.last == 7919)
159 |         assert(primes.count == 1000)
160 |         NumberPrinter(rowsPerPage: 50, columnCount: 4).printNumbers(primes)
161 |     }
162 | 
163 | }
164 | 
165 | 
166 | PrintPrimes.main()
167 | 


--------------------------------------------------------------------------------