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A238798 Least odd k such that k*2^n + 1 is a prime factor of a Fermat number 2^(2^m) + 1 for some m, or 0 if no such value exists. 0

%I #12 Nov 29 2017 00:04:03

%S 0,1,1,0,1,0,0,5,1,116503103764643,0,604944512477,11131,39,7

%N Least odd k such that k*2^n + 1 is a prime factor of a Fermat number 2^(2^m) + 1 for some m, or 0 if no such value exists.

%C The sequence continues: a(15) = ?, 1, 17753925353, a(18) = ?, 1575, 13, 579, a(22) = ?

%H Fermat factoring status, <a href="http://www.prothsearch.com/fermat.html">Prime factors of Fermat numbers</a>

%H FermatSearch, <a href="http://www.fermatsearch.org/index.html">Home page</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/FermatNumber.html">Fermat Number</a>

%Y Cf. A019434, A007117.

%K nonn,hard

%O 0,8

%A _Arkadiusz Wesolowski_, Mar 05 2014

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Last modified May 4 13:19 EDT 2024. Contains 372243 sequences. (Running on oeis4.)