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 A127335 Numbers that are the sum of 8 successive primes. 13
 77, 98, 124, 150, 180, 210, 240, 270, 304, 340, 372, 408, 442, 474, 510, 546, 582, 620, 660, 696, 732, 768, 802, 846, 888, 928, 966, 1012, 1056, 1104, 1154, 1194, 1236, 1278, 1320, 1362, 1404, 1444, 1480, 1524, 1574, 1622, 1670, 1712, 1758, 1802, 1854, 1900 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(n) is the absolute value of coefficient of x^7 of the polynomial Prod_{j=0,7}(x-prime(n+j)) of degree 8; the roots of this polynomial are prime(n), ..., prime(n+7). LINKS Robert Israel, Table of n, a(n) for n = 1..10000 FORMULA a(n) ~ 8n log n. - Charles R Greathouse IV, Apr 19 2015 MAPLE S:= [0, op(ListTools:-PartialSums(select(isprime, [2, seq(i, i=3..1000, 2)])))]: S[9..-1]-S[1..-9]; # Robert Israel, Nov 27 2017 MATHEMATICA a = {}; Do[AppendTo[a, Sum[Prime[x + n], {n, 0, 7}]], {x, 1, 50}]; a Total/@Partition[Prime[Range[60]], 8, 1] (* Harvey P. Dale, Sep 10 2019 *) PROG (PARI) {m=48; k=8; for(n=1, m, print1(a=sum(j=0, k-1, prime(n+j)), ", "))} \\ Klaus Brockhaus, Jan 13 2007 (PARI) {m=48; k=8; for(n=1, m, print1(abs(polcoeff(prod(j=0, k-1, (x-prime(n+j))), k-1)), ", "))} \\ Klaus Brockhaus, Jan 13 2007 (PARI) a(n)=my(p=prime(n)); p+sum(i=2, 8, p=nextprime(p+1)) \\ Charles R Greathouse IV, Apr 19 2015 (MAGMA) [&+[ NthPrime(n+k): k in [0..7] ]: n in [1..90] ]; // Vincenzo Librandi, Apr 03 2011 CROSSREFS Cf. A011974, A001043, A034961, A034963, A034964, A127333, A127334, A127336, A127337, A127338, A127339. Sequence in context: A269809 A064902 A247682 * A193570 A154534 A235867 Adjacent sequences:  A127332 A127333 A127334 * A127336 A127337 A127338 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 3 13:49 EDT 2020. Contains 336198 sequences. (Running on oeis4.)