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 A092427 Least k > 1 such that k^n divides (k-1)!. 2
 2, 6, 12, 12, 12, 24, 24, 36, 40, 45, 48, 60, 60, 60, 72, 72, 72, 80, 80, 90, 90, 120, 120, 120, 120, 120, 120, 120, 144, 144, 144, 144, 144, 144, 144, 180, 180, 180, 180, 180, 180, 180, 180, 180, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Is 45 the only odd number in this sequence? - Derek Orr, Apr 16 2015 LINKS Michael De Vlieger, Table of n, a(n) for n = 0..1000 FORMULA Does limit n ->infty a(n)/n exist? MATHEMATICA Table[k = 2; While[Mod[(k - 1)!, k^n] != 0, k++]; k, {n, 0, 60}] (* Michael De Vlieger, Apr 16 2015 *) PROG (PARI) a(n)=if(n<0, 0, k=2; while((k-1)!%(k^n)>0, k++); k) CROSSREFS A061770 gives values of n such that a(n) > a(n-1). Sequence in context: A278232 A074385 A057340 * A058198 A096075 A278256 Adjacent sequences:  A092424 A092425 A092426 * A092428 A092429 A092430 KEYWORD nonn AUTHOR Benoit Cloitre, Mar 22 2004 EXTENSIONS Name edited by Derek Orr, Apr 16 2015 STATUS approved

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Last modified September 16 06:18 EDT 2021. Contains 347469 sequences. (Running on oeis4.)