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A056995 Numbers n such that n^256 + 1 is prime. 26
1, 278, 614, 892, 898, 1348, 1494, 1574, 1938, 2116, 2122, 2278, 2762, 3434, 4094, 4204, 4728, 5712, 5744, 6066, 6508, 6930, 7022, 7332, 8524, 8644, 8762, 8808, 9024, 9142, 9412, 10892, 12206, 13220, 13222, 13246, 13370, 13738, 14114, 14930 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

Dubner, Harvey. "Generalized Fermat primes." J. Recreational Math., 18 (1985): 279-280.

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000 (from Yves Gallot)

Yves Gallot, Generalized Fermat Prime Search.

MATHEMATICA

Do[ k = 1; While[ PowerMod[ n, 256, 2*k*256 + 1 ] != 2*k*256 && k < 10^3, k++ ]; If[ k == 10^3 && PrimeQ[ n^256 + 1 ], Print[ n ] ], {n, 2, 15000, 2} ]

PROG

(PARI) isA056995(n) = isprime(n^256+1) [From Michael B. Porter, Apr 01 2010]

CROSSREFS

Cf. A005574, A000068, A006314, A006313, A006315, A006316, A056994, A057465, A057002, A088361, A088362

Sequence in context: A154231 A252249 A257368 * A228135 A188446 A251624

Adjacent sequences:  A056992 A056993 A056994 * A056996 A056997 A056998

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Sep 06 2000

STATUS

approved

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Last modified January 17 16:43 EST 2018. Contains 297822 sequences.