A239279 -id:A239279 - cp's OEIS frontend

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A241427 Smallest prime of the form n^k - k^n for some k, or 0 if no such prime exists.

Original entry on oeis.org

7, 2, 3, 6102977801, 5, 79792265017612001, 7, 2486784401

Offset: 2

Derek Orr, Aug 08 2014

nonn

Conjecture: a(n) > 0 for all n not in A097764.
More terms in b-file. If n > 4 and in A097764, n^k - k^n is factorable and won't be prime.
a(17) > 17^7500 - 7500^17. See A239279.

Derek Orr, Table of n, a(n) for n = 2..16

a(n)=k=1;if(n>4,forprime(p=1,100,if(ispower(n)&&ispower(n)%p==0&&n%p==0,return(0));if(n%p==n,break)));k=1;while(!ispseudoprime(n^k-k^n),k++);return(n^k-k^n)
vector(15, n, a(n+1))

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