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Search: id:A033998
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A033998 Numbers n such that the sum of the primes <= n is a square. +0
4
23, 22073, 67187, 79427, 10729219, 3531577135439 (list; graph; listen)
OFFSET

1,1

LINKS

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

G. L. Honaker Jr. and C. Caldwell, Prime Curios!: 3531577135439

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

FORMULA

a(n) = Prime(A033997(n))

EXAMPLE

2+3+5+7+11+13+17+19+23 = 10^2 is a square, so 23 is in the sequence.

CROSSREFS

Cf. A000040, A033997, A061888, A061890.

Sequence in context: A090674 A013728 A028693 this_sequence A157167 A101699 A122148

Adjacent sequences: A033995 A033996 A033997 this_sequence A033999 A034000 A034001

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

3531577135439 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 November 29 12:46 EST 2009. Contains 167659 sequences.


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