

A253854


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


6



1, 62722, 130816, 228188, 386892, 572186, 689186, 909548, 1063730, 1176694, 1361244, 1372930, 1560730, 1660830, 1717162, 1722230, 1766192, 1955556, 2194180, 2280466, 2639850, 3450080, 3615210, 3814944, 4085818, 4329134, 4893072, 4974408, 5326454, 5400728, 5471814
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OFFSET

1,2


COMMENTS

Base values b yielding a generalized Fermat prime b^(2^k)+1 for k=17.
The first member exceeding 10^((10^61)/2^17) is known to be 42654182.  Jeppe Stig Nielsen, Jan 30 2016


LINKS

Jeppe Stig Nielsen, Table of n, a(n) for n = 1..64
C. K. Caldwell, 1560730^131072+1, The Largest Known Primes
Merfighters, Table of known GF primes b^n+1 where n(exponent) is at least 8192, Mersenne Wiki
J. S. S. Nielsen, Generalized Fermat Primes sorted by base (see table at the bottom of the page)
PrimeGrid, PrimeGrid Primes  (GFN131072) Generalized Fermat Prime Search n=131072


CROSSREFS

Cf. A056993, A005574, A006315, A006316, A226528, A226529, A226530, A251597, A244150, A243959.
Sequence in context: A205764 A209207 A224649 * A237675 A135430 A049025
Adjacent sequences: A253851 A253852 A253853 * A253855 A253856 A253857


KEYWORD

nonn,hard


AUTHOR

Felix Fröhlich, Jan 17 2015


EXTENSIONS

Missing term a(8) inserted by Jeppe Stig Nielsen, Jul 02 2015
a(13) from Felix Fröhlich, Nov 01 2015
a(14)a(20) from Jeppe Stig Nielsen, Jan 30 2016
a(21)a(31) from Jeppe Stig Nielsen, Sep 06 2017
a(1) = 1 inserted by Jeppe Stig Nielsen, Sep 10 2018


STATUS

approved



