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A140669 Numbers n such that (n+1)^(n+1) - n^n is prime. +0
2
1, 2, 3, 6, 10, 16, 105, 119, 1906, 7917 (list; graph; listen)
OFFSET

1,2

COMMENT

Terms found with PrimeForm. Primes corresponding to 16, 105 and 119 certified with Primo. 7917 corresponds to a 30870-digit probable prime.

LINKS

Eric Weisstein's World of Mathematics, Integer Sequence Primes

Eric Weisstein's World of Mathematics, Power Difference Prime

EXAMPLE

17^17 - 16^16 = 808793517812627212561, which is prime, so 16 is a term.

CROSSREFS

Cf. A134985. Equals A072164 - 1.

Sequence in context: A034419 A066895 A105075 this_sequence A001636 A036588 A099517

Adjacent sequences: A140666 A140667 A140668 this_sequence A140670 A140671 A140672

KEYWORD

hard,nonn

AUTHOR

Rick L. Shepherd (rshepherd2(AT)hotmail.com), May 21 2008

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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