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A062574 Numbers n such that k^n - (k-1)^n is prime, where k is 8. 2
7, 11, 17, 29, 31, 79, 113, 131, 139, 4357, 44029, 76213, 83663, 173687, 336419, 615997 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Terms > 1000 are often only strong pseudo-primes.

All terms are prime. - Alexander Adamchuk (alex(AT)kolmogorov.com), Apr 27 2008

Three more terms 83663, 173687 and 336419 found by Jean-Louis Charton in 2004 and 2008

LINKS

Henri & Renaud Lifchitz, PRP Records.

CROSSREFS

Cf. A000043, A057468, A059801, A059802, A062572-A062666.

Cf. A016177 = 8^n - 7^n.

Sequence in context: A021014 A021013 A156105 * A063912 A078725 A019418

Adjacent sequences:  A062571 A062572 A062573 * A062575 A062576 A062577

KEYWORD

nonn,hard

AUTHOR

Mike Oakes (Mikeoakes2(AT)aol.com), May 18 2001, May 19 2001

EXTENSIONS

Two more terms 44029 and 76213 found by Ananda Tallur & Jean-Louis Charton in 2003.

New term 615997 found by Jean-Louis Charton corresponding to a probable prime with 556301 digits. Jean-Louis Charton (chartonjl(AT)wanadoo.fr), Sep 02 2009

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Last modified February 17 07:41 EST 2012. Contains 205998 sequences.