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Search: id:A062412
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| A062412 |
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Sum_{k=1..n} k^n + (p(k)-1)^n) p=prime. |
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+0
1
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| 2, 10, 109, 1923, 113258, 4103972, 315764017, 15871339589, 1481092410586, 327513561563174, 26675659416361181, 5516357252651388375, 864424420824670346866, 86799914926048613598024
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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D. M. Burton, Elementary Number Theory, Allyn and Bacon, Inc., Boston, MA, 1976. p. 169.
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EXAMPLE
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a(3)= 109 because 1^3+2^3+3^3+1^3+2^3+4^3= 109.
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PROGRAM
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(PARI) for(n=1, 23, print(sum(k=1, n, (k^n)+(prime(k)-1)^n)))
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CROSSREFS
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Sequence in context: A127728 A003222 A003167 this_sequence A006608 A066205 A113147
Adjacent sequences: A062409 A062410 A062411 this_sequence A062413 A062414 A062415
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KEYWORD
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easy,nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Jul 09 2001
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