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A050247 a(n) is the sum of the first A045345(n) primes. 4
2, 874, 5830, 2615298, 712377380, 86810649294, 794712005370, 105784534314378, 92542301212047102, 82704567079549985700, 24733255676526572596026, 3612032130800990065125528 (list; graph; refs; listen; history; 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). [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Aug 23 2010]

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

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 (mathar(AT)strw.leidenuniv.nl), Jan 26 2008

CROSSREFS

Cf. A045345, A050248.

Sequence in context: A141185 A128667 A199947 * A159705 A203609 A159723

Adjacent sequences:  A050244 A050245 A050246 * A050248 A050249 A050250

KEYWORD

nonn,more

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

EXTENSIONS

a(10), a(11) from Giovanni Resta submitted by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jul 19 2010

a(12) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Aug 23 2010

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Last modified February 17 09:17 EST 2012. Contains 206009 sequences.