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A007610 Sum of n consecutive primes starting at a(n) is prime (or 0 if impossible).
(Formerly M0343)
+0
3
2, 2, 5, 2, 5, 2, 17, 0, 3, 0, 5, 2, 29, 2, 3, 0, 3, 0, 11, 0, 7, 0, 7, 0, 5, 0, 7, 0, 13, 0, 13, 0, 7, 0, 5, 0, 5, 0, 13, 0, 7, 0, 7, 0, 7, 0, 7, 0, 11, 0, 17, 0, 3, 0, 3, 0, 97, 0, 29, 2, 3, 0, 13, 2, 3, 0, 19, 0, 19, 0, 3, 0, 5, 0, 3, 0, 23, 0, 7, 0, 11, 0, 53, 0, 31, 0, 89, 0, 53, 0, 19, 0, 11, 0, 3, 2 (list; graph; listen)
OFFSET

1,1

COMMENT

a(n) = 0 iff n is even and the sum of 2...P(n) is not prime. - Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 16 2002

REFERENCES

C. W. Trigg, Prime sums of consecutive primes, J. Rec. Math., 18 (No. 4, 1985-1986), 247ff.

LINKS

T. D. Noe, Table of n, a(n) for n=1..10000

MATHEMATICA

Do[k = n; a = Table[ Prime[i], {i, 1, n} ]; If[ OddQ[n], While[ !PrimeQ[ Apply[ Plus, a]], k++; a = Drop[a, 1]; a = Append[a, Prime[k]]], If[ PrimeQ[ Apply[ Plus, a]], a, a[[1]] = 0]]; Print[ a[[1]]], {n, 1, 100} ]

CROSSREFS

Cf. A013916, A071149

Adjacent sequences: A007607 A007608 A007609 this_sequence A007611 A007612 A007613

Sequence in context: A076200 A039931 A128645 this_sequence A068066 A101910 A093660

KEYWORD

nonn,nice,easy

AUTHOR

njas, Robert G. Wilson v (rgwv(AT)rgwv.com), Mira Bernstein (mira(AT)math.berkeley.edu)

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Last modified May 16 01:24 EDT 2008. Contains 139630 sequences.


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