cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A280003 Numbers k such that 7*2^k + 1 is a prime factor of a Fermat number 2^(2^m) + 1 for some m.

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%I A280003 #30 Feb 16 2025 08:33:38
%S A280003 14,120,290,320,95330,2167800
%N A280003 Numbers k such that 7*2^k + 1 is a prime factor of a Fermat number 2^(2^m) + 1 for some m.
%C A280003 18233956 belongs to this sequence, but its position is currently unknown. - _Jeppe Stig Nielsen_, Oct 05 2020
%H A280003 Proth Search Page, <a href="http://www.prothsearch.com/fermat.html">Prime factors of Fermat numbers</a>
%H A280003 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/FermatNumber.html">Fermat Number</a>
%o A280003 (Magma) IsInteger := func<k | k eq Floor(k)>; [n: n in [1..320] | IsPrime(k) and IsInteger(Log(2, Modorder(2, k))) where k is 7*2^n+1];
%Y A280003 Subsequence of A032353.
%Y A280003 Cf. A000215, A050527, A057778, A201364, A204620, A226366, A280004.
%K A280003 nonn,hard,more
%O A280003 1,1
%A A280003 _Arkadiusz Wesolowski_, Feb 21 2017