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A088362 Numbers k such that k^4096 + 1 is prime (a generalized Fermat prime). 31

%I #31 Mar 14 2022 18:05:24

%S 1,1534,7316,17582,18224,28234,34954,41336,48824,51558,51914,57394,

%T 61686,62060,89762,96632,98242,100540,101578,109696,110540,114690,

%U 125440,125442,127596,138068,144362,154908,157310,161822,161900,166224

%N Numbers k such that k^4096 + 1 is prime (a generalized Fermat prime).

%H Jeppe Stig Nielsen, <a href="/A088362/b088362.txt">Table of n, a(n) for n = 1..10000</a>

%H Yves Gallot, <a href="http://yves.gallot.pagesperso-orange.fr/primes/">Generalized Fermat Prime Search</a>.

%H Jeppe Stig Nielsen, <a href="/A088362/a088362.txt">All terms up to 2*10^9</a> (from a distributed search)

%H Jeppe Stig Nielsen, <a href="http://jeppesn.dk/generalized-fermat.html">Generalized Fermat Primes sorted by base</a>.

%H 'stream', <a href="http://boincvm.proxyma.ru:30080/test4vm/user_profile/gfn12_final_status.html">GFN-12 Final Statistic</a>.

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

%o (PARI) isA088362(n)=isprime(n^4096+1) \\ _Michael B. Porter_, Apr 22 2010

%Y Cf. A006093, A005574, A000068, A006314, A006313, A006315, A006316, A056994, A056995, A057465, A057002, A088361, A226528, A226529, A226530, A251597, A253854, A244150, A243959, A321323.

%K nonn

%O 1,2

%A _Jeppe Stig Nielsen_, Sep 27 2003

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Last modified May 20 08:05 EDT 2024. Contains 372703 sequences. (Running on oeis4.)