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Tuesday, March 3, 2009

NaisaiKu Challenge 3

NaisaiKu Challenge
University Challenge
Which one is harder?
NAISAIKU CHALLENGE
Which one is harder
University Challenge
NaisaiKu Challenge?

Composites are ignored
With filter from THE STONES ERA
STEERING a double ton
OR PUT ANOTHER WAY
Two hundred INTEGERS
Sieve of ERATOSTHENES
The Prime acknowledgement

Prime Numbers 1-200
A Prime Number has just TWO factors; ITSELF and ONE
Integer means number
Chart 1-200 as follows:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32

33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48

49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64

65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96

97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112

113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128

129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144

145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160

161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176

177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192

194 195 196 197 198 199 200

1 is not a prime number it only has ONE factor. It goes.
2 is the only EVEN Prime Number. It stays
Ignore all other EVEN Numbers (99 in total)
Sieve Composite Numbers; Numbers with more than TWO factors.
Factors of 3 = 9 15 21 27 33 39 45 51 57 63 69 75 81 87 93 99 105
111 117 123 129 135 141 147 153 159 165 171 177 183 189 195
Factors of 5 = 25 35 55 65 85 95 115 125 145 155 175 185
Factors of 7 = 49 77 91 119 133 161
Factors of 11 = 121 143 187
Factors of 13 = 169
All of these numbers go (54 in total). 3 5 7 11 and 13 stay.
We have used THE SIEVE OF ERATOSTHENES to filter out 154 Numbers
This leaves us with 46 PRIME NUMBERS between 1 and 200


2 3 5 7 11 13 17 19 23 29 31 37 41 43

47 53 59 61 67 71 73 79 83 89 97 101 103 107

109 113 127 131 137 139 149 151 157 163 167 173 179 181

191 193 197 199