

A176914


List of pairs of primes p_i < p_j such that p_i*p_j = p_i + p_{i+1} + p_{i+2} + ... + p_j.


0




OFFSET

1,1


COMMENTS

First four pairs were found by F. Russo and the fifth by Philip Gibbs. It is not known whether other pairs exist.


REFERENCES

A. Murphy, "Smarandache friendly numbers and a few more sequences", Smarandache Notions Journal, Vol. 12, 123, Spring 2001.


LINKS

Table of n, a(n) for n=1..10.
Philip Gibbs, A Fifth Smarandache Friendly Prime Pair
Felice Russo, On a problem concerning the Smarandache friendly prime pairs
Digital Library of Sciences


EXAMPLE

(2, 5) is a pair because 2 and 5 are primes and 2*5 = 2 + 3 + 5. Similarly (3, 13) is a pair because 3 and 13 are primes and 3*13 = 3 + 5 + 7 + 11 + 13.


CROSSREFS

Sequence in context: A124937 A279342 A169852 * A194010 A229609 A242171
Adjacent sequences: A176911 A176912 A176913 * A176915 A176916 A176917


KEYWORD

nonn,more


AUTHOR

G. Ornea (gornea2005(AT)gmail.com), Apr 28 2010


EXTENSIONS

Edited by N. J. A. Sloane, Jul 02 2017


STATUS

approved



