login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A127343 Product of 11 consecutive primes. 5
200560490130, 3710369067405, 50708377254535, 436092044389001, 2928046583754721, 14107860812636383, 64027983688118969, 229747470880897477, 810162134158954261, 2500935283708076197 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) = absolute value of the coefficient of x^0 of the polynomial Prod_{j=0,10}(x-prime(n+j)) of degree 11; the roots of this polynomial are prime(n), ..., prime(n+10).

LINKS

Table of n, a(n) for n=1..10.

MATHEMATICA

a = {}; Do[AppendTo[a, Product[Prime[x + n], {n, 0, 10}]], {x, 1, 50}]; a

Times@@@Partition[Prime[Range[50]], 11, 1] (* Harvey P. Dale, Oct 21 2011 *)

PROG

(PARI) 1. {m=10; k=11; for(n=0, m-1, print1(a=prod(j=1, k, prime(n+j)), ", "))} 2. {m=10; k=11; for(n=1, m, print1(abs(polcoeff(prod(j=0, k-1, (x-prime(n+j))), 0)), ", "))} - Klaus Brockhaus, Jan 21 2007

(MAGMA) [&*[ NthPrime(n+k): k in [0..10] ]: n in [1..50] ]; - Vincenzo Librandi, Apr 03 2011

CROSSREFS

Cf. A006094, A046301, A046302, A046303, A046324, A046325, A046326, A046327, A127342, A127344.

Sequence in context: A104800 A217091 A144173 * A108048 A108496 A185430

Adjacent sequences:  A127340 A127341 A127342 * A127344 A127345 A127346

KEYWORD

nonn

AUTHOR

Artur Jasinski, Jan 11 2007

EXTENSIONS

Edited by Klaus Brockhaus, Jan 21 2007

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified December 20 20:08 EST 2014. Contains 252289 sequences.