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A064109 Product_{k=1..n} p(k) - p(4n), where p(i) = i-th prime. 1
-5, -13, -7, 157, 2239, 29941, 510403, 9699559, 223092719, 6469693057, 200560489937, 7420738134587, 304250263526971, 13082761331669767, 614889782588491129, 32589158477190044419, 1922760350154212638733, 117288381359406970982911 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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

REFERENCES

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

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

PROG

(PARI) { p=1; for (n=1, 100, p*=prime(n); write("b064109.txt", n, " ", p - prime(4*n)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Sep 07 2009]

CROSSREFS

Sequence in context: A088315 A138296 A094474 * A175484 A156682 A089534

Adjacent sequences:  A064106 A064107 A064108 * A064110 A064111 A064112

KEYWORD

sign

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Oct 16 2001

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Last modified February 16 20:14 EST 2012. Contains 205962 sequences.