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A127340 Primes that are the sum of 11 consecutive primes. 10
233, 271, 311, 353, 443, 491, 631, 677, 883, 1367, 1423, 1483, 1543, 1607, 1787, 1901, 1951, 2011, 2141, 2203, 2383, 3253, 3469, 3541, 3617, 3691, 3967, 4159, 4229, 4297, 4943, 5009, 5483, 5657, 5741, 5903, 5981, 6553, 6871, 6991, 7057, 7121, 7187, 7873 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primes in A127338.

A prime number n is in the sequence if for some k it is the absolute value of coefficient of x^10 of the polynomial Prod_{j=0,10}(x-prime(k+j)); the roots of this polynomial are prime(k), ..., prime(k+10).

LINKS

Syed Iddi Hasan, Table of n, a(n) for n = 1..10000

MATHEMATICA

a = {}; Do[If[PrimeQ[Sum[Prime[x + n], {n, 0, 10}]], AppendTo[a, Sum[Prime[x + n], {n, 0, 10}]]], {x, 1, 500}]; a

Select[Total/@Partition[Prime[Range[200]], 11, 1], PrimeQ] (* Harvey P. Dale, Jul 16 2012 *)

PROG

(PARI) 1. {m=125; k=11; for(n=0, m-1, a=sum(j=1, k, prime(n+j)); if(isprime(a), print1(a, ", ")))} 2. {m=126; k=11; for(n=1, m, a=abs(polcoeff(prod(j=0, k-1, (x-prime(n+j))), k-1)); if(isprime(a), print1(a, ", ")))} - Klaus Brockhaus, Jan 13 2007

CROSSREFS

Cf. A127338, A034962, A034965, A082246, A082251, A127341.

Sequence in context: A132917 A139652 A126979 * A140033 A142182 A105981

Adjacent sequences:  A127337 A127338 A127339 * A127341 A127342 A127343

KEYWORD

nonn

AUTHOR

Artur Jasinski, Jan 11 2007

EXTENSIONS

Edited by Klaus Brockhaus, Jan 13 2007

STATUS

approved

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Last modified October 22 10:24 EDT 2019. Contains 328317 sequences. (Running on oeis4.)