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A140458 Primes p such that p^2 is a sum of 5 successive primes. +0
1
31, 41, 137, 277, 283, 313, 353, 467, 659 (list; graph; listen)
OFFSET

1,1

EXAMPLE

181+191+193+197+199=31^2, 317+331+337+347+349=41^2, 3733+3739+3761+3767+3769=137^2,...

MATHEMATICA

a = {}; For[n = 1, n < 10^4, n++, p1 = Prime[n]; p2 = Prime[n + 1]; p3 = Prime[n + 2]; p4 = Prime[n + 3]; p5 = Prime[n + 4]; p = (p1 + p2 + p3 + p4 + p5)^(1/2); If[PrimeQ[p], AppendTo[a, p]]]; a

CROSSREFS

Sequence in context: A141180 A040987 A040180 this_sequence A101520 A089713 A067467

Adjacent sequences: A140455 A140456 A140457 this_sequence A140459 A140460 A140461

KEYWORD

nonn

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 26 2008

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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