

A140669


Numbers n such that (n+1)^(n+1)  n^n is prime.


1




OFFSET

1,2


COMMENTS

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


LINKS

Table of n, a(n) for n=1..10.
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.


MATHEMATICA

Select[Table[n, {n, 8000}], PrimeQ[(#+1)^(#+1)#^#]&] (* Vladimir Joseph Stephan Orlovsky, Mar 03 2011*)


CROSSREFS

Cf. A134985. Equals A072164  1.
Sequence in context: A294444 A066895 A105075 * A001636 A036588 A334893
Adjacent sequences: A140666 A140667 A140668 * A140670 A140671 A140672


KEYWORD

hard,nonn


AUTHOR

Rick L. Shepherd, May 21 2008


STATUS

approved



