Exercise 1.3.25 (Sieve of Eratosthenes)

Obtain a complete list of the primes between 1 and n , with n = 200 for convenience, by the sieve of Eratosthenes.

Answers

Proof. We cross out all propers multiples of 3 , 5 , 7 , 11 , 13 ( 1 7 2 > 200 ). We obtain

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 .
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2024-10-06 08:11
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