A121707 <http://oeis.org/A121707> Numbers n such that n^3 divides Sum[ k^n, {k,1,n} ] Let me an innocent question. Do you think that the following set is empty? Numbers n such that n^4 divides Sum[ k^n, {k,1,n} ] Yours sincerely <http://forum.wordreference.com/showthread.php?t=492915> José María Grau Ribas