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A007506 Primes p with property that p divides the sum of all primes <= p.
(Formerly M1554)
5
2, 5, 71, 369119, 415074643 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

REFERENCES

J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 71, p. 25, Ellipses, Paris 2008.

Harry L. Nelson, Prime Sums, J. Rec. Math., 14 (1981), 205-206.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

C. Rivera, Puzzle

EXAMPLE

For example 2 divides 2, 5 divides 2+3, 71 divides 2+3+5+7+. . .+61+67, ...

CROSSREFS

Cf. A024011, A028581, A028582.

Sequence in context: A100009 A167218 A013045 * A042693 A172037 A128297

Adjacent sequences:  A007503 A007504 A007505 * A007507 A007508 A007509

KEYWORD

nonn,nice,hard

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)

EXTENSIONS

No others < 29505444491 - Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu), Jul 08 2000

No other terms < 10^12 [From Jon E. Schoenfield (jonscho(AT)hiwaay.net), Sep 11 2008]

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Last modified February 15 23:53 EST 2012. Contains 205860 sequences.