A064820 a(n) = Product_{k=1..4*n-9} prime(k) - prime(4n)^4 where prime(i) = i-th prime.

-1874131, -7379971, 200535078449, 614889782525749169, 7858321551080266924799489, 267064515689275851355623723492869, 23984823528925228172706521638691738510609, 4014476939333036189094441199026045136644989502689, 1492182350939279320058875736615841068547583863325477042409

Offset

3,1

Comments

It is known that a(n) > 0 for n >= 5.

Links

Harry J. Smith, Table of n, a(n) for n = 3..50

S. E. Mamangakis, Synthetic proof of some prime number inequalities, Duke Math. J., 29 (1962), 471-473.

Prog

(PARI) { for (n=3, 50, p=prod(k=1, 4*n-9, prime(k)); write("b064820.txt", n, " ", p - prime(4*n)^4) ) } \\ Harry J. Smith, Sep 27 2009

Crossrefs

Sequence in context: A015347 A145276 A251008 * A032595 A230806 A032596

Adjacent sequences: A064817 A064818 A064819 * A064821 A064822 A064823

Keyword

sign

Author

N. J. A. Sloane, Oct 23 2001

Status

approved