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 A127336 Numbers that are the sum of 9 consecutive primes. 13
 100, 127, 155, 187, 221, 253, 287, 323, 363, 401, 439, 479, 515, 553, 593, 635, 679, 721, 763, 803, 841, 881, 929, 977, 1025, 1067, 1115, 1163, 1213, 1267, 1321, 1367, 1415, 1459, 1511, 1555, 1601, 1643, 1691, 1747, 1801, 1851, 1903, 1951, 1999, 2053 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(n) = absolute value of coefficient of x^8 of the polynomial Product_{j=0..8}(x - prime(n+j)) of degree 9; the roots of this polynomial are prime(n), ..., prime(n+8). LINKS Table of n, a(n) for n=1..46. FORMULA a(n) = A127335(n)+A000040(n+8). - R. J. Mathar, Apr 24 2023 MATHEMATICA A127336 = {}; Do[AppendTo[A127336, Sum[Prime[x + n], {n, 0, 8}]], {x, 1, 50}]; A127336 (* Artur Jasinski, Jan 11 2007 *) Table[Plus@@Prime[Range[n, n + 8]], {n, 50}] (* Alonso del Arte, Aug 27 2013 *) Total/@Partition[Prime[Range[60]], 9, 1] (* Harvey P. Dale, Nov 18 2020 *) PROG (PARI) {m=46; k=9; for(n=1, m, print1(a=sum(j=0, k-1, prime(n+j)), ", "))} \\ Klaus Brockhaus, Jan 13 2007 {m=46; k=9; 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..8] ]: n in [1..100] ]; // Vincenzo Librandi, Apr 03 2011 (Python) from sympy import prime def a(x): return sum([prime(x + n) for n in range(9)]) print([a(i) for i in range(1, 50)]) # Indranil Ghosh, Mar 18 2017 CROSSREFS Cf. A011974, A001043, A034961, A034963, A034964, A127333, A127334, A127335, A127337, A127338, A127339, A082251, A228200. Sequence in context: A109881 A292275 A295161 * A045211 A244391 A108551 Adjacent sequences: A127333 A127334 A127335 * A127337 A127338 A127339 KEYWORD nonn,easy AUTHOR Artur Jasinski, Jan 11 2007 EXTENSIONS Edited by Klaus Brockhaus, Jan 13 2007 STATUS approved

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Last modified September 28 04:26 EDT 2023. Contains 365721 sequences. (Running on oeis4.)