RUS  ENG
Full version
JOURNALS // Prikladnaya Diskretnaya Matematika. Supplement // Archive

Prikl. Diskr. Mat. Suppl., 2014 Issue 7, Pages 13–14 (Mi pdma146)

Theoretical Foundations of Applied Discrete Mathematics

The equivalent problem of testing Fermat primes

Kr. L. Geut, S. S. Titov

Urals State University of Railway Transport, Ekaterinburg

Abstract: It is shown that the problem of testing Fermat numbers for primality is equivalent to the problem of testing some polynomials over $\mathrm{GF}(2)$ or $\mathrm{GF}(3)$ for irreducibility.

Keywords: irreducible polynomial, prime numbers, Fermat numbers.

UDC: 512.62



© Steklov Math. Inst. of RAS, 2024