

A163742


Prime pairs (p,q) of the form p=A002315(k), q=A001653(k) for some k.


1




OFFSET

1,1


COMMENTS

By construction, all these pairs satisfy p^2 2*q^2 = 1.
One can generate the combined A002315 and A001653 by a mixed recursion 3p+4q > p; 2p+3q > q, and then test after each step both p and q for primality.


LINKS



EXAMPLE

(A002315(1),A001653(1)) = (7,5) are both prime and define the first pair in the sequence.
(A002315(2),A001653(2)) = (41,29) are both prime and define the second pair in the sequence.
(A002315(3),A001653(3)) = (239,169=13^2) contain the composite 169 and do not contribute to the sequence.


CROSSREFS



KEYWORD

nonn,less


AUTHOR



EXTENSIONS



STATUS

approved



