|
Search: id:A064109
|
|
|
| A064109 |
|
Product_{k=1..n} p(k) - p(4n), where p(i) = i-th prime. |
|
+0
1
|
|
| -5, -13, -7, 157, 2239, 29941, 510403, 9699559, 223092719, 6469693057, 200560489937, 7420738134587, 304250263526971, 13082761331669767, 614889782588491129, 32589158477190044419, 1922760350154212638733, 117288381359406970982911
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
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
|
|
PROGRAM
|
(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 this_sequence A156682 A089534 A116981
Adjacent sequences: A064106 A064107 A064108 this_sequence A064110 A064111 A064112
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Oct 16 2001
|
|
|
Search completed in 0.002 seconds
|
