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Search: id:A057002
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| A057002 |
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Numbers n such that n^1024 + 1 is prime (a generalized Fermat prime). |
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+0
13
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| 1, 824, 1476, 1632, 2462, 2484, 2520, 3064, 3402, 3820, 4026, 6640, 7026, 7158, 9070, 12202, 12548, 12994, 13042, 15358, 17646, 17670, 18336, 19564, 20624, 22500, 24126, 26132, 26188, 26240, 29074, 29658, 30778, 31126, 32244, 33044, 34016
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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This is a polynomial form (of degree 2^10) generalization of Fermat primes, whereas Fermat primes have a doubly exponential form. [From Daniel Forgues (squid(AT)zensearch.com), Nov 11 2009]
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000 (from Yves Gallot)
Yves Gallot, Generalized Fermat Prime Search.
Jeppe Stig Nielsen, Generalized Fermat Primes sorted by base.
Eric Weisstein's World of Mathematics, Generalized Fermat Number.
Yves Gallot, Generalized Fermat Prime Search.
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MATHEMATICA
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Do[ k = 1; While[ PowerMod[ n, 1024, 2*k*1024 + 1 ] != 2*k*1024 && k < 2*10^6, k++ ]; If[ k == 2*10^6 && PrimeQ[ n^1024 + 1 ], Print[ n ] ], {n, 2, 13954, 2} ]
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CROSSREFS
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Cf. A088362, A088361, A057465, A056995, A056994, A006316, A006315, A006313, A006314, A000068, A005574, A006093.
Cf. A005574, A000068, A006314, A006313, A006315, A006316, A056994, A056995, A057465, A088361, A088362
Sequence in context: A103764 A033531 A088360 this_sequence A051989 A104375 A066946
Adjacent sequences: A056999 A057000 A057001 this_sequence A057003 A057004 A057005
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KEYWORD
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nonn,new
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 09 2000
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EXTENSIONS
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More terms from Jeppe Stig Nielsen (mail(AT)jeppesn.dk), Sep 27 2003
Edited by N. J. A. Sloane (njas(AT)research.att.com), May 14 2008 at the suggestion of T. D. Noe
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