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A163742
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Prime pairs (p,q) of the form p=A002315(k), q=A001653(k) for some k.
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1
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OFFSET
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1,1
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COMMENTS
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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.
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LINKS
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EXAMPLE
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(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.
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CROSSREFS
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KEYWORD
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nonn,less
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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