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A050248
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Integer averages of first k primes for some k.
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106
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2, 38, 110, 3066, 60020, 740282, 2340038, 29380602, 957565746, 31043311588, 569424748566, 7207204117608, 10871205353578, 196523412770096, 2665506690112870, 122498079071529726
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OFFSET
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1,1
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COMMENTS
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a(10) and a(11) were found by Giovanni Resta (Nov 15 2004). He states that there are no other terms for primes p < 4011201392413. See link to Prime Puzzles, Puzzle 31 below.
a(13) > (sum of first pi(2*10^13) primes)/pi(2*10^13). - Donovan Johnson, Aug 23 2010
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LINKS
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Eric Weisstein's World of Mathematics, Prime Sums.
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FORMULA
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EXAMPLE
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38 is average of first k = 23 primes; 110 (k = 53); 3066 (k = 853); 60020 (k = 11869).
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MATHEMATICA
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PROG
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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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