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Search: id:A109710
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| A109710 |
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Numbers n such that the sum of the digits of pi(n)^prime(n) is divisible by n. |
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+0
1
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| 1, 10, 35, 63, 106, 153, 602, 1548, 1710, 4680, 5274
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Next term after 5274 is greater than 10000.
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EXAMPLE
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The digits of pi(1548)^prime(1548) sum to 139320, and 139320 is divisible by 1548, so 1548 is in the sequence.
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MATHEMATICA
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Do[k = PrimePi[n]^Prime[n]; s = Plus @@ IntegerDigits[k]; If[Mod[s, n] == 0, Print[n]], {n, 1, 10^4}]
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CROSSREFS
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Adjacent sequences: A109707 A109708 A109709 this_sequence A109711 A109712 A109713
Sequence in context: A044087 A022702 A044468 this_sequence A000447 A052472 A049736
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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 08 2005
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