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A224083
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Prime(m), where m is such that (Sum_{i=1..m} prime(i)^5) / m is an integer.
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2
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2, 97, 6449, 49943, 1220347, 3821963, 60252541, 61785991, 10678796441, 47363940857, 830546726491, 2639027583253, 4087115060797, 4645513891321, 711935349228079, 3393070609976863
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OFFSET
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1,1
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COMMENTS
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a(13) > 2760727302517.
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LINKS
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EXAMPLE
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a(2) = 97, because 97 is the 25th prime and the sum of the first 25 primes^5 = 29014217650 when divided by 25 equals 1160568706 which is an integer.
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MATHEMATICA
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t = {}; sm = 0; Do[sm = sm + Prime[n]^5; If[Mod[sm, n] == 0, AppendTo[t, Prime[n]]], {n, 100000}]; t (* Derived from A217599 *)
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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
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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