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A232865
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Primes p such that the average of the seventh power of primes up to p is an integer.
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2
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2, 97, 14293, 247997, 7979737, 15749303, 344468591, 25934255929, 40224745543, 16495569405383, 53941465463489, 84897825837611, 244949151647509, 757938163218799, 1594375071689591, 1674528348898463, 5347819657753523, 6152744788157173, 47008163075851819
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OFFSET
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1,1
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COMMENTS
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Otherwise said, prime(m) such that m divides prime(1)^7 + ... + prime(m)^7.
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LINKS
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FORMULA
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PROG
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(PARI) S=n=0; forprime(p=1, , (S+=p^7)%n++||print1(p", "))
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CROSSREFS
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Cf. A085450 (smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n).
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KEYWORD
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nonn,more,hard
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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