A048845 Least positive integer k for which 23^n divides k!.

1, 23, 46, 69, 92, 115, 138, 161, 184, 207, 230, 253, 276, 299, 322, 345, 368, 391, 414, 437, 460, 483, 506, 529, 529, 552, 575, 598, 621, 644, 667, 690, 713, 736, 759, 782, 805, 828, 851, 874, 897, 920, 943, 966, 989, 1012, 1035, 1058

Offset

0,2

Links

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

Prog

(Python)
from itertools import count
from sympy import multiplicity
def A048845(n):
    if n == 0: return 1
    c = 0
    for k in count(23, 23):
        c += multiplicity(23, k)
        if c+k+23 > n:
            return 23*(max(k, n-c) if n>=23 else n+1-c) # Chai Wah Wu, Feb 24 2026

Crossrefs

See A007843 for more information.

Sequence in context: A094694 A164010 A132682 * A008605 A038152 A358684

Adjacent sequences: A048842 A048843 A048844 * A048846 A048847 A048848

Keyword

nonn

Author

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

Status

approved