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A050997
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Fifth powers of primes.
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68
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32, 243, 3125, 16807, 161051, 371293, 1419857, 2476099, 6436343, 20511149, 28629151, 69343957, 115856201, 147008443, 229345007, 418195493, 714924299, 844596301, 1350125107, 1804229351, 2073071593, 3077056399, 3939040643, 5584059449, 8587340257, 10510100501
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OFFSET
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1,1
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COMMENTS
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Numbers k such that A062799(k) = 5.
Let r(n) = (a(n)+1)/(a(n)-1)) if a(n) mod 4 = 3, (a(n)-1)/(a(n)+1)) otherwise; then Product_{n>=1} r(n) = (31/33) * (244/242) * (3124/3126) * (16808/16806) * ... = 246016/259875. - Dimitris Valianatos, Mar 09 2020
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LINKS
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FORMULA
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Product_{n>=1} (1 + 1/a(n)) = zeta(5)/zeta(10) (A157291).
Product_{n>=1} (1 - 1/a(n)) = 1/zeta(5) = 1/A013663. (End)
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MATHEMATICA
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PROG
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(PARI) vector(66, n, prime(n)^5)
(Haskell)
a050997 = (^ 5) . a000040
a050997_list = map (^ 5) a000040_list
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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