A064109 Product_{k=1..n} prime(k) - prime(4n).

-5, -13, -7, 157, 2239, 29941, 510403, 9699559, 223092719, 6469693057, 200560489937, 7420738134587, 304250263526971, 13082761331669767, 614889782588491129, 32589158477190044419, 1922760350154212638733, 117288381359406970982911

Offset

1,1

Comments

It is known that a(n) > 0 for n >= 4.

References

D. S. Mitrinovic et al., Handbook of Number Theory, Kluwer, Section VII.18, p. 493.

Links

Harry J. Smith, Table of n, a(n) for n = 1..100

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

Prog

(PARI) a(n) = prod(k=1, n, prime(k)) - prime(4*n); \\ Michel Marcus, Jun 19 2018

Crossrefs

Sequence in context: A088315 A138296 A094474 * A175484 A210694 A298316

Adjacent sequences: A064106 A064107 A064108 * A064110 A064111 A064112

Keyword

sign

Author

N. J. A. Sloane, Oct 16 2001

Status

approved