The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
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
KEYWORD
nonn
AUTHOR
Asger Grunnet, Jul 13 2002
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 12 14:10 EDT 2024. Contains 373331 sequences. (Running on oeis4.)