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A233523
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Prime(n), where n is such that (1+sum_{i=1..n} prime(i)) / n is an integer.
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91
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2, 3, 13, 29, 71, 79, 107, 907, 3491, 4967, 7853, 61223, 80051, 81547, 90901, 211811, 381629, 1990007, 3220793, 4749637, 6725027, 6784937, 34463699, 143691323, 185831033, 213609173, 285336497, 442634651, 911588849, 953122843, 1548789581, 2153787017
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OFFSET
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1,1
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COMMENTS
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LINKS
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EXAMPLE
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a(3) = 13, because 13 is the 6th prime and the sum of the first 6 primes+1 = 42 when divided by 6 equals 7 which is an integer.
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MATHEMATICA
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t = {}; sm = 1; Do[sm = sm + Prime[n]; If[Mod[sm, n] == 0, AppendTo[t, Prime[n]]], {n, 100000}]; t (* Derived from A217599 *)
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PROG
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(PARI) is(n)=if(!isprime(n), return(0)); my(t=primepi(n), s); forprime(p=2, n, s+=Mod(p, t)); s==0 \\ Charles R Greathouse IV, Nov 30 2013
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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
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AUTHOR
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STATUS
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approved
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