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Primes of the form k^(k+1)+(k+1)^k.
1

%I #7 Aug 16 2020 13:54:20

%S 3,17,

%T 14612087592038378751152858509524512533536096028044190178822935218486730194880516808459166772134240378240755073828170296740373082348622309614668344831750401

%N Primes of the form k^(k+1)+(k+1)^k.

%C The associated k are in A073499. [_R. J. Mathar_, Jun 12 2009]

%H Jeppe Stig Nielsen, <a href="/A161473/b161473.txt">Table of n, a(n) for n = 1..4</a>

%F A051442 INTERSECT A000040. [_R. J. Mathar_, Jun 12 2009]

%e 2^1+1^2=3. 2^3+3^2=17.

%t lst={};Do[p=n^(n+1)+(n+1)^n;If[PrimeQ[p],AppendTo[lst,p]],{n,2*5!}];lst

%K nonn,bref

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Jun 10 2009

%E Definition simplified by _R. J. Mathar_, Jun 12 2009