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Search: id:A109676
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| A109676 |
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Numbers n such that the sum of the digits of (n! - 1) is divisible by n. |
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+0
1
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OFFSET
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1,2
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COMMENT
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Next term after 42862 is greater than 100,000.
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EXAMPLE
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The digits of 5405! - 1 sum to 86480 and 86480 is divisible by 5405, so 5405 is in the sequence.
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MATHEMATICA
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Do[k = n! - 1; s = Plus @@ IntegerDigits[k]; If[Mod[s, n] == 0, Print[n]], {n, 1, 10^5}]
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CROSSREFS
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Sequence in context: A033682 A020283 A137186 this_sequence A087239 A032653 A063308
Adjacent sequences: A109673 A109674 A109675 this_sequence A109677 A109678 A109679
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KEYWORD
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base,hard,more,nonn
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AUTHOR
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Ryan Propper (rpropper(AT)stanford.edu), Aug 06 2005
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