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 A050247 a(n) is the sum of the first A045345(n) primes. 95
 2, 874, 5830, 2615298, 712377380, 86810649294, 794712005370, 105784534314378, 92542301212047102, 82704567079549985700, 24733255676526572596026, 3612032130800990065125528, 8102184022428756416738378 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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) > 6640510710493148698166596 (sum of first pi(2*10^13) primes). - Donovan Johnson, Aug 23 2010 LINKS Eric Weisstein's World of Mathematics, Prime Sums. The Prime Puzzles & Problems Connection: Puzzle 31.- The Average Prime number, APN(k) = S(Pk)/k. FORMULA a(n) = sum_{i=1..A045345(n)} A000040(i). - R. J. Mathar, Jan 26 2008 PROG (PARI) s=n=0; forprime(p=2, 1e9, if((s+=p)%n++==0, print1(s", "))) \\ Charles R Greathouse IV, Nov 07 2014 CROSSREFS Cf. A085450 = smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n. Cf. A007504, A045345, A171399, A128165, A233523, A050247, A050248, A024450, A111441, A217599, A128166, A233862, A217600, A217601. Sequence in context: A199947 A230569 A239149 * A159705 A229678 A261528 Adjacent sequences:  A050244 A050245 A050246 * A050248 A050249 A050250 KEYWORD nonn,more AUTHOR EXTENSIONS a(10), a(11) from Giovanni Resta submitted by Ray Chandler, Jul 19 2010 a(12) from Donovan Johnson, Aug 23 2010 a(13) from Robert Price, Mar 17 2013 STATUS approved

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Last modified October 17 16:37 EDT 2019. Contains 328119 sequences. (Running on oeis4.)