Search: id:A099499
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%I A099499
%S A099499 17,162287,2486784401,83695120256591,
%T A099499 84721522804414816904952398305908708011513455440403306207160333176150520399
%N A099499 Primes of the form A007925(n)=n^(n+1)-(n+1)^n.
%C A099499 The next term a(6)=883^884-884^883 has 2605 decimal digits and is too 
               large to include here.
%e A099499 a(2)=162287 because A007925(A072179(2))=6^7-7^6=162287 is prime.
%t A099499 lst={};Do[m=n+1;q=n^m-m^n;If[PrimeQ[q],AppendTo[lst,q]],{n,0,5!}];lst 
               [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 23 2009]
%Y A099499 Cf. A007925 n^(n+1)-(n+1)^n, A072179 n^(n+1)-(n+1)^n is prime, A099497 
               n^(n+1)-(n+1)^n is a semiprime, A099495 semiprimes of the form n^(n+1)-(n+1)^n.
%Y A099499 Sequence in context: A078351 A046883 A046884 this_sequence A051157 A130653 
               A125039
%Y A099499 Adjacent sequences: A099496 A099497 A099498 this_sequence A099500 A099501 
               A099502
%K A099499 nonn
%O A099499 1,1
%A A099499 Hugo Pfoertner (hugo(AT)pfoertner.org), Oct 19 2004

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