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A329793
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Smallest positive multiple of n that contains only the digits 1,2,3,4,5, or -1 if no such multiple exists.
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2
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-1, 1, 2, 3, 4, 5, 12, 14, 24, 45, -1, 11, 12, 13, 14, 15, 32, 34, 54, 114, -1, 21, 22, 23, 24, 25, 52, 54, 112, 145, -1, 31, 32, 33, 34, 35, 144, 111, 114, 234, -1, 41, 42, 43, 44, 45, 322, 141, 144, 245, -1, 51, 52, 53, 54, 55, 112, 114, 232, 354, -1, 122, 124, 252, 512, 325, 132, 134, 544, 345, -1
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OFFSET
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0,3
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COMMENTS
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a(n) > 0 iff n is not a multiple of 10.
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REFERENCES
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G. Galperin and Y. J. Ionin (Proposers), and M. Reid (Solver), Problem 12034, Amer. Math. Monthly, 126:10, 950-951, Dec. 2019.
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LINKS
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PROG
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(PARI) \\ See Links section.
(Python)
if n % 10:
m, s = n, set('12345')
while not set(str(m)) <= s:
m += n
return m
else:
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CROSSREFS
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KEYWORD
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sign,base
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AUTHOR
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STATUS
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approved
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