The equivalent problem of testing Fermat primes
Prikladnaya Diskretnaya Matematika. Supplement, no. 7 (2014), pp. 13-14

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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.
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     author = {Kr. L. Geut and S. S. Titov},
     title = {The equivalent problem of testing {Fermat} primes},
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Kr. L. Geut; S. S. Titov. The equivalent problem of testing Fermat primes. Prikladnaya Diskretnaya Matematika. Supplement, no. 7 (2014), pp. 13-14. http://geodesic.mathdoc.fr/item/PDMA_2014_7_a3/