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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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1
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2, 10, 109, 1923, 113258, 4103972, 315764017, 15871339589, 1481092410586, 327513561563174, 26675659416361181, 5516357252651388375, 864424420824670346866, 86799914926048613598024
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| D. M. Burton, Elementary Number Theory, Allyn and Bacon, Inc., Boston, MA, 1976. p. 169.
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,100
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EXAMPLE
| a(3)= 109 because 1^3+2^3+3^3+1^3+2^3+4^3= 109.
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PROG
| (PARI) for(n=1, 23, print(sum(k=1, n, (k^n)+(prime(k)-1)^n)))
(PARI) { for (n=1, 100, write("b062412.txt", n, " ", sum(k=1, n, (k^n) + (prime(k) - 1)^n)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 07 2009]
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CROSSREFS
| Sequence in context: A185396 A003222 A003167 * A006608 A066205 A113147
Adjacent sequences: A062409 A062410 A062411 * A062413 A062414 A062415
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KEYWORD
| easy,nonn
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AUTHOR
| Jason Earls (zevi_35711(AT)yahoo.com), Jul 09 2001
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