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A127339 Numbers that are the sum of 12 consecutive primes. 9
197, 236, 276, 318, 364, 412, 460, 510, 562, 612, 662, 714, 766, 822, 880, 936, 990, 1040, 1092, 1152, 1212, 1276, 1336, 1402, 1464, 1524, 1586, 1650, 1716, 1786, 1854, 1918, 1980, 2040, 2100, 2162, 2234, 2304, 2370, 2436, 2502, 2564, 2634, 2700, 2770 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) = absolute value of coefficient of x^11 of the polynomial Product_{j=0..11} (x - prime(n+j)) of degree 12; the roots of this polynomial are prime(n), ..., prime(n+11).

LINKS

Table of n, a(n) for n=1..45.

MATHEMATICA

a = {}; Do[AppendTo[a, Sum[Prime[x + n], {n, 0, 11}]], {x, 1, 50}]; a

PROG

(PARI) 1. {m=45; k=12; for(n=1, m, print1(a=sum(j=0, k-1, prime(n+j)), ", "))} 2. {m=45; k=12; 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..11] ]: n in [1..100] ]; // Vincenzo Librandi, Apr 03 2011

CROSSREFS

Cf. A011974, A001043, A034961, A034963, A034964, A127333, A127334, A127335, A127336, A127337, A127338.

Sequence in context: A082246 A159809 A051371 * A142121 A142274 A142624

Adjacent sequences:  A127336 A127337 A127338 * A127340 A127341 A127342

KEYWORD

nonn

AUTHOR

Artur Jasinski, Jan 11 2007

EXTENSIONS

Edited by Klaus Brockhaus, Jan 13 2007

STATUS

approved

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Last modified July 26 08:41 EDT 2017. Contains 289800 sequences.