

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



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



KEYWORD

nonn,more


AUTHOR

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


EXTENSIONS



STATUS

approved



