Sieve of Eratosthenes - Sieve of Eratosthenes

Japanese: エラトステネスの篩 - エラトステネスのふるい
Sieve of Eratosthenes - Sieve of Eratosthenes
A method of finding prime numbers discovered by Eratosthenes. Arrange the natural numbers 1, 2, 3, …, then eliminate 1, leave the prime number 2 and eliminate its multiples 4, 6, 8, …, leave the next prime number 3 and eliminate its multiples 9, 15, …. When you have eliminated the multiples of prime number p in this way, if the next prime number after p is q, then all numbers remaining that are smaller than are prime numbers.
→Related topics Number theory

Source : Heibonsha Encyclopedia About MyPedia Information

Japanese:
エラトステネスが発見した素数の見いだし方。自然数を1,2,3,……と並べ,1を消し,素数2を残してその倍数4,6,8,……を消し,次の素数3を残してその倍数9,15,……を消す。こうして素数pの倍数を消したとき,pの次の素数がqなら,q2より小さい数で残ったものはすべて素数。
→関連項目整数論

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