Number Theory


Extension to the Eratosthenes Sieve

Authors: Samia Lakehal

The Sieve of Eratosthenes finds all the prime numbers up to any given limit by eliminating all non-primes from the list of all natural numbers. A list of natural numbers containing no multiples of 2, 3 or 5 is created, it is obtained by 8 formulas. The elimination of non-primes is effectuated from this new list. It then appears that it is possible to express all the non-primes belonging to this list by 36 other formulas, the prime numbers being the numbers satisfying the 8 formulas but not the 36.

Comments: 13 Pages ; 2 Tables ; 766 Ko

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Submission history

[v1] 2018-09-10 14:02:28

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