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A140669
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Numbers n such that (n+1)^(n+1) - n^n is prime.
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1
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OFFSET
| 1,2
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COMMENTS
| Terms found with PrimeForm. Primes corresponding to 16, 105 and 119 certified with Primo. 7917 corresponds to a 30870-digit probable prime.
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LINKS
| Eric Weisstein's World of Mathematics, Integer Sequence Primes
Eric Weisstein's World of Mathematics, Power Difference Prime
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EXAMPLE
| 17^17 - 16^16 = 808793517812627212561, which is prime, so 16 is a term.
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MATHEMATICA
| Select[Table[n, {n, 8000}], PrimeQ[(#+1)^(#+1)-#^#]&] (*From Vladimir Joseph Stephan Orlovsky, Mar 03 2011*)
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CROSSREFS
| Cf. A134985. Equals A072164 - 1.
Sequence in context: A198200 A066895 A105075 * A001636 A036588 A099517
Adjacent sequences: A140666 A140667 A140668 * A140670 A140671 A140672
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KEYWORD
| hard,nonn
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AUTHOR
| Rick L. Shepherd (rshepherd2(AT)hotmail.com), May 21 2008
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