%I A140669
%S A140669 1,2,3,6,10,16,105,119,1906,7917
%N A140669 Numbers n such that (n+1)^(n+1) - n^n is prime.
%C A140669 Terms found with PrimeForm. Primes corresponding to 16, 105 and 119 certified 
               with Primo. 7917 corresponds to a 30870-digit probable prime.
%H A140669 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               IntegerSequencePrimes.html">Integer Sequence Primes</a>
%H A140669 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PowerDifferencePrime.html">Power Difference Prime</a>
%e A140669 17^17 - 16^16 = 808793517812627212561, which is prime, so 16 is a term.
%Y A140669 Cf. A134985. Equals A072164 - 1.
%Y A140669 Sequence in context: A034419 A066895 A105075 this_sequence A001636 A036588 
               A099517
%Y A140669 Adjacent sequences: A140666 A140667 A140668 this_sequence A140670 A140671 
               A140672
%K A140669 hard,nonn
%O A140669 1,2
%A A140669 Rick L. Shepherd (rshepherd2(AT)hotmail.com), May 21 2008