%I #40 Apr 03 2023 10:36:13

%S 1,48594,108368,141146,189590,255694,291726,292550,357868,440846,

%T 544118,549868,671600,843832,857678,1024390,1057476,1087540,1266062,

%U 1361846,1374038,1478036,1483076,1540550,1828502,1874512,1927034,1966374,2019300,2041898,2056292

%N Numbers b such that b^65536 + 1 is prime.

%C Base values b yielding a generalized Fermat prime b^(2^k) + 1 for k=16.

%C First square member of sequence is 3934049284 = (A253854(1))^2. - _Jeppe Stig Nielsen_, Jun 29 2015

%H Ray Chandler, <a href="/A251597/b251597.txt">Table of n, a(n) for n = 1..1604</a> (2..70 from Felix Fröhlich, 71..425 from Jeppe Stig Nielsen)

%H C. K. Caldwell, <a href="https://t5k.org/primes/search.php?Description=.%5E65536%2B1&amp;Comment=generalized+fermat&amp; Prime Database, Search Output</a>.

%H Y. Gallot, <a href="http://yves.gallot.pagesperso-orange.fr/primes/GFN/GFN65536.html">Generalized Fermat Prime Search</a>

%H Merfighters, <a href="http://mersennewiki.org/index.php/User:Merfighters/listtest">Table of known GF primes b^n+1 where n(exponent) is at least 8192</a>, Mersenne Wiki

%H 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 PrimeGrid, <a href="http://www.primegrid.com/forum_thread.php?id=6491&amp;nowrap=true#89145">GFN Status by n-Range</a>, Message 89145

%Y Cf. A056993, A005574, A000068, A006314, A006313, A006315, A006316, A056994, A056995, A057465, A057002, A088361, A088362, A226528, A226529, A226530, A253854, A244150, A243959, A321323.

%K nonn

%O 1,2

%A _Felix Fröhlich_, Dec 05 2014

%E Corrected last term, and extended, by _Jeppe Stig Nielsen_, Jun 29 2015

%E New b-file, updated with data from Message 89145 at PrimeGrid forum uploaded and sequence data corrected, by _Felix Fröhlich_, Jan 03 2016

%E a(1) = 1 inserted and new b-file by _Jeppe Stig Nielsen_, Sep 10 2018