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Search: id:A033997
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A033997 Numbers n such that sum of first n primes is a square. +0
4
9, 2474, 6694, 7785, 709838, 126789311423 (list; graph; listen)
OFFSET

1,1

LINKS

G. L. Honaker Jr. and C. Caldwell, Prime Curios!: 9

C. Riveras, PrimePuzzles.Net, Problem 9: Sum of first k primes is perfect square

FORMULA

a(n) = PrimePi(A033998(n))

EXAMPLE

Sum of first 9 primes is 2+3+5+7+11+13+17+19+23 = 100, which is square, so 9 is in the sequence.

CROSSREFS

Cf. A000040, A033998, A061888, A061890.

Sequence in context: A013827 A058428 A069704 this_sequence A068729 A046896 A036516

Adjacent sequences: A033994 A033995 A033996 this_sequence A033998 A033999 A034000

KEYWORD

nonn

AUTHOR

Calculated by Jud McCranie (j.mccranie(AT)comcast.net)

EXTENSIONS

126789311423 from Giovanni Resta (g.resta(AT)iit.cnr.it), May 27 2003

Edited by Ray Chandler (rayjchandler(AT)sbcglobal.net), Mar 20 2007

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Last modified July 6 17:22 EDT 2008. Contains 140988 sequences.


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