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

%I

%S -5,-13,-7,157,2239,29941,510403,9699559,223092719,6469693057,

%T 200560489937,7420738134587,304250263526971,13082761331669767,

%U 614889782588491129,32589158477190044419,1922760350154212638733,117288381359406970982911

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

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

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

%H Harry J. Smith, <a href="/A064109/b064109.txt">Table of n, a(n) for n = 1..100</a>

%H S. E. Mamangakis, <a href="https://doi.org/10.1215/S0012-7094-62-02946-0">Synthetic proof of some prime number inequalities</a>, Duke Math. J., 29 (1962), 471-473.

%o (PARI) a(n) = prod(k=1, n, prime(k)) - prime(4*n); \\ _Michel Marcus_, Jun 19 2018

%K sign

%O 1,1

%A _N. J. A. Sloane_, Oct 16 2001

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Last modified October 19 22:55 EDT 2019. Contains 328244 sequences. (Running on oeis4.)