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 A127338 Numbers that are the sum of 11 consecutive primes. 12
 160, 195, 233, 271, 311, 353, 399, 443, 491, 539, 583, 631, 677, 725, 779, 833, 883, 931, 979, 1025, 1081, 1139, 1197, 1253, 1313, 1367, 1423, 1483, 1543, 1607, 1673, 1727, 1787, 1843, 1901, 1951, 2011, 2077, 2141, 2203, 2263, 2323, 2383, 2443, 2507 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(n) = absolute value of coefficient of x^10 of the polynomial Product_{j=0..10} (x - prime(n+j)) of degree 11; the roots of this polynomial are prime(n), ..., prime(n+10). LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 MATHEMATICA f[n_] := Sum[Prime[n + i], {i, 0, 10}]; Array[f, 45] Plus @@@ Partition[ Prime@ Range@ 55, 11, 1] (* Robert G. Wilson v, Jan 13 2011 *) PROG (PARI) 1. {m=45; k=11; for(n=1, m, print1(a=sum(j=0, k-1, prime(n+j)), ", "))} 2. {m=45; k=11; for(n=1, m, print1(abs(polcoeff(prod(j=0, k-1, (x-prime(n+j))), k-1)), ", "))} \\ Klaus Brockhaus, Jan 13 2007 (MAGMA) [&+[ NthPrime(n+k): k in [0..10] ]: n in [1..70] ]; // Vincenzo Librandi, Apr 03 2011 CROSSREFS Cf. A011974, A001043, A034961, A034963, A034964, A127333, A127334, A127335, A127336, A127337, A127339, A127340. Sequence in context: A060675 A171225 A290463 * A138854 A133530 A278129 Adjacent sequences:  A127335 A127336 A127337 * A127339 A127340 A127341 KEYWORD nonn AUTHOR Artur Jasinski, Jan 11 2007 EXTENSIONS Edited by Klaus Brockhaus, Jan 13 2007 STATUS approved

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Last modified August 22 05:35 EDT 2019. Contains 326172 sequences. (Running on oeis4.)