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A339498
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Number of zeroless strictly pandigital numbers divisible by the n-th prime.
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0
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161280, 362880, 40320, 51752, 31680, 27776, 21271, 19138, 15788, 12613, 11707, 9072, 8832, 8423, 7725, 6822, 6241, 5937, 5454, 5113, 4796, 4629, 4310, 4122, 3744, 3168, 3528, 3410, 3305, 3160, 2826, 2827, 2778, 2619, 2316, 2297, 2297, 2173, 2163, 2094, 2077, 2027, 1879, 1915, 1836, 1780, 1773
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OFFSET
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1,1
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COMMENTS
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Calculated by Chuck Gaydos.
a(4620), for prime(4620) = 44449, is the first zero entry. The last nonzero entry is a(6289143) for prime 109739359 = 987654231 / 9. - Michael S. Branicky, Dec 07 2020
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LINKS
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PROG
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(Python)
from sympy import prime
from itertools import permutations
def zeroless_pans():
for p in permutations("123456789"):
yield int("".join(p))
def a(n):
pn = prime(n)
return sum(zlp%pn==0 for zlp in zeroless_pans())
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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