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A056994 Numbers k such that k^128 + 1 is prime. 29
1, 120, 190, 234, 506, 532, 548, 960, 1738, 1786, 2884, 3000, 3420, 3476, 3658, 4258, 5788, 6080, 6562, 6750, 7692, 8296, 9108, 9356, 9582, 9706, 10238, 10994, 11338, 11432, 11466, 11554, 11778, 12704, 12766, 13082, 13478, 13700 (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, 128, 2*k*128 + 1 ] != 2*k*128 && k < 10^3, k++ ]; If[ k == 10^3 && PrimeQ[ n^128 + 1 ], Print[ n ] ], {n, 2, 15000, 2} ]

PROG

(PARI) isA056994(n) = isprime(n^128+1) \\ Michael B. Porter, Mar 30 2010

CROSSREFS

Cf. A005574, A000068, A006314, A006313, A006315, A006316, A056995, A057465, A057002, A088361, A088362

Sequence in context: A054572 A247851 A179232 * A288461 A114823 A069790

Adjacent sequences:  A056991 A056992 A056993 * A056995 A056996 A056997

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Sep 06 2000

STATUS

approved

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Last modified September 24 20:09 EDT 2018. Contains 315356 sequences. (Running on oeis4.)