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A253854 Numbers b such that b^131072 + 1 is prime.

%I A253854 #69 Jan 11 2025 10:26:07
%S A253854 1,62722,130816,228188,386892,572186,689186,909548,1063730,1176694,
%T A253854 1361244,1372930,1560730,1660830,1717162,1722230,1766192,1955556,
%U A253854 2194180,2280466,2639850,3450080,3615210,3814944,4085818,4329134,4893072,4974408,5326454,5400728,5471814
%N A253854 Numbers b such that b^131072 + 1 is prime.
%C A253854 Base values b yielding a generalized Fermat prime b^(2^k)+1 for k=17.
%C A253854 The first member exceeding 10^((10^6-1)/2^17) is known to be 42654182. - _Jeppe Stig Nielsen_, Jan 30 2016
%H A253854 Jeppe Stig Nielsen, <a href="/A253854/b253854.txt">Table of n, a(n) for n = 1..1243</a>
%H A253854 C. K. Caldwell, <a href="https://t5k.org/primes/page.php?id=120493">1560730^131072+1</a>, The Largest Known Primes
%H A253854 C. K. Caldwell, <a href="https://primes.utm.edu/primes/search.php?Description=%25%5E131072%2B1&amp;OnList=all&amp;Number=2000&amp;Style=HTML">Search result %^131072+1</a>.
%H A253854 J. S. S. Nielsen, <a href="http://jeppesn.dk/generalized-fermat.html">Generalized Fermat Primes sorted by base</a> (see table at the bottom of the page)
%H A253854 PrimeGrid, <a href="http://www.primegrid.com/primes/primes.php?project=GFN131072">PrimeGrid Primes - (GFN131072) Generalized Fermat Prime Search n=131072</a>
%H A253854 PrimeGrid, <a href="https://www.primegrid.com/stats_genefer.php">Generalized Fermat statistics</a>
%Y A253854 Cf. A056993, A005574, A000068, A006314, A006313, A006315, A006316, A056994, A056995, A057465, A057002, A088361, A088362, A226528, A226529, A226530, A251597, A244150, A243959, A321323.
%K A253854 nonn,hard
%O A253854 1,2
%A A253854 _Felix Fröhlich_, Jan 17 2015
%E A253854 Missing term a(8) inserted by _Jeppe Stig Nielsen_, Jul 02 2015
%E A253854 a(13) from _Felix Fröhlich_, Nov 01 2015
%E A253854 a(14)-a(20) from _Jeppe Stig Nielsen_, Jan 30 2016
%E A253854 a(21)-a(31) from _Jeppe Stig Nielsen_, Sep 06 2017
%E A253854 a(1) = 1 inserted by _Jeppe Stig Nielsen_, Sep 10 2018