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 A061759 Numbers k such that k! is divisible by (k+1)^11. 1
 59, 71, 79, 83, 89, 95, 99, 104, 107, 111, 119, 125, 127, 131, 134, 139, 143, 146, 149, 153, 155, 159, 161, 164, 167, 174, 175, 179, 181, 188, 191, 194, 195, 197, 199, 203, 207, 209, 215, 219, 220, 223, 224, 227, 230, 233, 237, 239, 241, 242, 244, 246, 249 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Harry J. Smith, Table of n, a(n) for n = 1..2000 MAPLE filter:= proc(n) local q, t, p, i, w, F;   F:= ifactors(n+1)[2];   for q in F do     p:= q[1];     t:= 0:     for i from 1 do       w:= floor(n/p^i);       if w = 0 then return false fi;       t:= t+w;       if t >= 11*q[2] then break fi;     od;   od;   true end proc: select(filter, [\$1..1000]); # Robert Israel, Jul 01 2018 MATHEMATICA Select[Range[250], IntegerQ[ #!/(# + 1)^11] &] PROG (PARI) { n=0; f=1; for (a=1, 3879, f*=a; if (f%(a + 1)^11 == 0, write("b061759.txt", n++, " ", a)) ) } \\ Harry J. Smith, Jul 27 2009 (MAGMA) [n: n in [1..250]| Factorial(n) mod (n+1)^11 eq 0]; // Vincenzo Librandi, Jul 02 2018 CROSSREFS Sequence in context: A235225 A015979 A065208 * A061764 A316971 A162000 Adjacent sequences:  A061756 A061757 A061758 * A061760 A061761 A061762 KEYWORD nonn AUTHOR Robert G. Wilson v, Jun 21 2001 STATUS approved

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Last modified December 8 02:41 EST 2021. Contains 349590 sequences. (Running on oeis4.)