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Positive integers k such that k! is divisible by (k+1)^5.
7

%I #8 Jul 16 2023 10:56:40

%S 23,29,31,35,39,41,44,47,49,53,55,59,62,63,65,69,71,74,76,77,79,80,83,

%T 87,89,90,95,97,98,99,101,103,104,107,109,111,113,116,118,119,120,124,

%U 125,127,129,131,132,134,135,137,139,142,143,146,149

%N Positive integers k such that k! is divisible by (k+1)^5.

%H Seiichi Manyama, <a href="/A061753/b061753.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[Range[150], IntegerQ[ #!/(# + 1)^5] &]

%Y Cf. A061743, A061751, A061752, A061754, A061755, A061756, A061757, A061758, A061759.

%K nonn

%O 1,1

%A _Robert G. Wilson v_, Jun 21 2001