A048843 Least positive integer k for which 17^n divides k!.

1, 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 289, 306, 323, 340, 357, 374, 391, 408, 425, 442, 459, 476, 493, 510, 527, 544, 561, 578, 578, 595, 612, 629, 646, 663, 680, 697, 714, 731, 748, 765, 782, 799

Offset

0,2

Links

T. D. Noe, Table of n, a(n) for n = 0..1000

Prog

(Python)
from itertool import count
from sympy import multiplicity
def A048843(n):
    if n == 0: return 1
    c = 0
    for k in count(17, 17):
        c += multiplicity(17, k)
        if c+k+17 > n:
            return 17*(max(k, n-c) if n>=17 else n+1-c) # Chai Wah Wu, Feb 24 2026

Crossrefs

See A007843 for more information.

Sequence in context: A044857 A161440 A044902 * A008599 A033029 A044842

Adjacent sequences: A048840 A048841 A048842 * A048844 A048845 A048846

Keyword

nonn

Author

Charles T. Le (charlestle(AT)yahoo.com)

Status

approved