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A127335
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Numbers that are the sum of 8 successive primes.
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10
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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; internal format)
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OFFSET
| 1,1
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COMMENTS
| a(n) = 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).
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MATHEMATICA
| a = {}; Do[AppendTo[a, Sum[Prime[x + n], {n, 0, 7}]], {x, 1, 50}]; a
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PROG
| (PARI) 1. {m=48; k=8; for(n=1, m, print1(a=sum(j=0, k-1, prime(n+j)), ", "))} 2. {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
(MAGMA) [&+[ NthPrime(n+k): k in [0..7] ]: n in [1..90] ]; - Vincenzo Librandi, Apr 03 2011
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CROSSREFS
| Cf. A011974, A001043, A034961, A034963, A034964, A127333, A127334, A127336, A127337, A127338, A127339.
Sequence in context: A154534 A061671 A064902 * A193570 A176278 A105998
Adjacent sequences: A127332 A127333 A127334 * A127336 A127337 A127338
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KEYWORD
| nonn
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AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Jan 11 2007
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EXTENSIONS
| Edited by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jan 13 2007
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