Factors of Generalized Fermat Numbers

DOI10.2307/2153343zbMath0813.11069OpenAlexW2050602318MaRDI QIDQ4325738

Harvey Dubner, Wilfrid Keller

Publication date: 7 June 1995

Full work available at URL: https://doi.org/10.2307/2153343

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to number theory (11-04) Factorization; primality (11A51) Factorization (11Y05) Primality (11Y11)

Related Items (8)

Expect at most one billionth of a new Ferma\textit{t} prime! ⋮ Undirected power graphs of semigroups ⋮ Factors of generalized Fermat numbers ⋮ Distribution of generalized Fermat prime numbers ⋮ A generalization of a theorem by Křížek, Luca, and Somer on elite primes ⋮ Large primes and Fermat factors ⋮ A note on factors of generalized Fermat numbers ⋮ Binomial coefficients and Lucas sequences

Cites Work

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• Factors of Fermat Numbers and Large Primes of the Form k ⋅2 n + 1
• Some Factors of the Numbers G n = 6 2 n + 1 and H n = 10 2 n + 1
• Common prime factors of the numbers $$A_n = a^{2^n } + 1$$
• Factorizations of 𝑏ⁿ±1, 𝑏=2, 3, 5, 6, 7, 10, 11, 12 Up to High Powers

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