# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a243959 Showing 1-1 of 1 %I A243959 #77 Apr 01 2024 06:27:39 %S A243959 1,75898,341112,356926,475856,1880370,2061748,2312092,2733014,2788032, %T A243959 2877652,2985036,3214654,3638450,4896418,5897794,6339004 %N A243959 Numbers k such that k^524288 + 1 is prime. %C A243959 Numbers k such that k^(2^j) + 1 is a generalized Fermat prime for j=19. %C A243959 1880370 is a member, but its position is not yet known. - _Jeppe Stig Nielsen_, Jan 24 2018 %C A243959 PrimeGrid has now tested and double checked the necessary candidates to prove that 1880370 is a(6). - _Jeppe Stig Nielsen_, Feb 20 2018 %H A243959 C. Caldwell, The largest known primes (Primes with 600,000 or more digits) %H A243959 H. Dubner and Y. Gallot, Distribution of generalized Fermat prime numbers, Math. Comp., 71 (2002), 825-832. %H A243959 J. S. S. Nielsen, Generalized Fermat Primes sorted by base (See table at the bottom of the page.) %H A243959 PrimeGrid, Announcement of n=75898 %H A243959 PrimeGrid, Announcement of n=341112 %H A243959 PrimeGrid, Announcement of n=356926 %H A243959 PrimeGrid, Announcement of n=475856 %H A243959 PrimeGrid, Announcement of n=1880370 %H A243959 PrimeGrid, Announcement of n=2061748 %H A243959 PrimeGrid, Announcement of n=2312092 %H A243959 PrimeGrid, GFN Prime Search Status and History %H A243959 PrimeGrid, PrimeGrid Primes - (GFN524288) Generalized Fermat Prime Search n=524288 %H A243959 The Prime Pages, Database search results %o A243959 (PARI) is(n)=isprime(n^524288+1) \\ _Charles R Greathouse IV_, Feb 20 2017 %Y A243959 Cf. A056993, A005574, A000068, A006314, A006313, A006315, A006316, A056994, A056995, A057465, A057002, A088361, A088362, A226528, A226529, A226530, A251597, A253854, A244150, A321323. %K A243959 nonn,hard,more %O A243959 1,2 %A A243959 _Felix Fröhlich_, Jun 16 2014 %E A243959 a(6) from _Jeppe Stig Nielsen_, Feb 20 2018 %E A243959 a(7) from _Jeppe Stig Nielsen_, Apr 27 2018 %E A243959 a(1) = 1 inserted and a(8) added by _Jeppe Stig Nielsen_, Sep 10 2018 %E A243959 a(9)-a(12) from _Jeppe Stig Nielsen_, Sep 21 2019 %E A243959 a(13) from _Jeppe Stig Nielsen_, Dec 27 2019 %E A243959 a(14) from _Ray Chandler_, Mar 28 2022 %E A243959 a(15)-a(17) communicated by _Jeppe Stig Nielsen_, Apr 01 2024 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE