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A072298 Smallest integer k such that for no integer m, m! is divisible by n^k but not by n^(k+1). 1
2, 3, 6, 5, 3, 7, 4, 12, 5, 11, 7, 13, 7, 5, 62, 17, 12, 19, 5, 7, 11, 23, 4, 30, 13, 39, 7, 29, 5, 31, 37, 11, 17, 7, 12, 37, 19, 13, 5, 41, 7, 43, 11, 23, 23, 47, 62, 56, 30, 17, 13, 53, 39, 11, 7, 19, 29, 59, 5, 61, 31, 7, 84, 13, 11, 67, 17, 23, 7, 71, 12, 73, 37, 30, 19, 11 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

If p is a prime, the p-th term is p.

LINKS

Ivan Neretin, Table of n, a(n) for n = 2..2000

MAPLE

for b from 2 do if isprime(b) then print(b): next: end if: L := ifactors(b)[2]: last := 0: for n from 2 to 10000 do C := [seq(0, i=1..nops(L))]: for i from 1 while 2^i <= n do for j from 1 to nops(L) do C := subsop(j=C[j]+floor(n/(L[j][1])^i), C): end do: end do: for j from 1 to nops(L) do C := subsop(j=floor(C[j]/(L[j][2])), C): end do: new := min(op(C)): if last + 1 < new then print(last+1): break: end if: last := new: end do: end do:

CROSSREFS

Sequence in context: A091556 A299207 A277330 * A130686 A213927 A222241

Adjacent sequences:  A072295 A072296 A072297 * A072299 A072300 A072301

KEYWORD

nonn

AUTHOR

Asger Grunnet, Jul 13 2002

STATUS

approved

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Last modified March 21 20:21 EDT 2019. Contains 321382 sequences. (Running on oeis4.)