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 A243959 Numbers k such that k^524288 + 1 is prime. 22
 1, 75898, 341112, 356926, 475856, 1880370, 2061748, 2312092, 2733014, 2788032, 2877652, 2985036, 3214654, 3638450 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Numbers k such that k^(2^j) + 1 is a generalized Fermat prime for j=19. 1880370 is a member, but its position is not yet known. - Jeppe Stig Nielsen, Jan 24 2018 PrimeGrid has now tested and double checked the necessary candidates to prove that 1880370 is a(6). - Jeppe Stig Nielsen, Feb 20 2018 LINKS H. Dubner and Y. Gallot, Distribution of generalized Fermat prime numbers, Math. Comp., 71 (2002), 825-832. J. S. S. Nielsen, Generalized Fermat Primes sorted by base (See table at the bottom of the page.) PrimeGrid, Announcement of n=75898 PrimeGrid, Announcement of n=341112 PrimeGrid, Announcement of n=356926 PrimeGrid, Announcement of n=475856 PrimeGrid, Announcement of n=1880370 PrimeGrid, Announcement of n=2061748 PrimeGrid, Announcement of n=2312092 PrimeGrid, GFN Prime Search Status and History PROG (PARI) is(n)=isprime(n^524288+1) \\ Charles R Greathouse IV, Feb 20 2017 CROSSREFS Cf. A056993, A005574, A000068, A006314, A006313, A006315, A006316, A056994, A056995, A057465, A057002, A088361, A088362, A226528, A226529, A226530, A251597, A253854, A244150, A321323. Sequence in context: A323025 A323804 A135209 * A236807 A251470 A091294 Adjacent sequences:  A243956 A243957 A243958 * A243960 A243961 A243962 KEYWORD nonn,hard,more AUTHOR Felix FrÃ¶hlich, Jun 16 2014 EXTENSIONS a(6) from Jeppe Stig Nielsen, Feb 20 2018 a(7) from Jeppe Stig Nielsen, Apr 27 2018 a(1) = 1 inserted and a(8) added by Jeppe Stig Nielsen, Sep 10 2018 a(9)-a(12) from Jeppe Stig Nielsen, Sep 21 2019 a(13) from Jeppe Stig Nielsen, Dec 27 2019 a(14) from Ray Chandler, Mar 28 2022 STATUS approved

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Last modified July 3 15:54 EDT 2022. Contains 355055 sequences. (Running on oeis4.)