A070934 Smallest prime equal to the sum of 2n+1 consecutive primes.

2, 23, 53, 197, 127, 233, 691, 379, 499, 857, 953, 1151, 1259, 1583, 2099, 2399, 2417, 2579, 2909, 3803, 3821, 4217, 4651, 5107, 5813, 6829, 6079, 6599, 14153, 10091, 8273, 10163, 9521, 12281, 13043, 11597, 12713, 13099, 16763, 15527, 16823, 22741

Offset

0,1

Links

T. D. Noe, Table of n, a(n) for n = 0..10000

Example

Every term of the increasing sequence of primes 127, 401, 439, 479, 593,... is splittable into a sum of 9 consecutive odd primes and 127 = 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 is the least one corresponding to n = 4.

Mathematica

f[n_] := Block[{k = 1, s}, While[s = Sum[Prime[i], {i, k, k + 2n}]; !PrimeQ[s], k++ ]; s]; Table[f[n], {n, 0, 41}] (* Ray Chandler, Sep 27 2006 *)

Crossrefs

Cf. Bisection of A070281.

See A082244 for another version.

Cf. A089793, A215235.

Cf. A034962, A082246, A082251, A127340, A127341, A161612, A215991-A216020.

Sequence in context: A074809 A084237 A106928 * A296272 A031915 A247603

Adjacent sequences: A070931 A070932 A070933 * A070935 A070936 A070937

Keyword

nonn

Author

Lekraj Beedassy, May 21 2002

Extensions

Corrected and extended by Ray G. Opao, Aug 26 2004

Entry revised by Ray Chandler, Sep 27 2006

Status

approved