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A128336 Numbers n such that (6^n + 5^n)/11 is prime. 19
3, 5, 17, 397, 409, 643, 1783, 2617, 4583, 8783 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

All terms are primes.

MATHEMATICA

k=6; Do[p=Prime[n]; f=(k^p+5^p)/(k+5); If[ PrimeQ[f], Print[p] ], {n, 1, 100}]

PROG

(PARI) forprime(p=3, 1e4, if(ispseudoprime((6^p+5^p)/11), print1(p", "))) \\ Charles R Greathouse IV, Jul 16, 2011

CROSSREFS

Cf. A057171, A082387, A122853, A128335, A128337, A128338, A128339, A128340, A128341, A128342, A128343, A004061, A082182, A121877, A059802, A062572, A128344, A128345, A128346, A128347, A128348, A128349, A128350, A128351, A128352, A128353, A128354.

Sequence in context: A000215 A123599 A016045 * A094487 A007516 A039584

Adjacent sequences:  A128333 A128334 A128335 * A128337 A128338 A128339

KEYWORD

hard,more,nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 27 2007

EXTENSIONS

a(7)-a(9) from Alexander Adamchuk (alex(AT)kolmogorov.com), May 04 2010

One more term (8783) added (unknown discoverer) corresponding to a probable prime with 6834 digits. Jean-Louis Charton (chartonjl(AT)wanadoo.fr), Oct 06 2010

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Last modified February 14 20:13 EST 2012. Contains 205663 sequences.