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A133204
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Primes p such that the non-Pellian equation x^2-2py^2=-1 is solvable.
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2
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5, 13, 29, 37, 41, 53, 61, 101, 109, 113, 137, 149, 157, 173, 181, 197, 229, 269, 277, 293, 313, 317, 349, 373, 389, 397, 409, 421, 457, 461, 509, 521, 541, 557, 569, 613, 653, 661, 677, 701, 709, 733, 757, 761, 773, 797, 809, 821, 829, 853, 857, 877, 941
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OFFSET
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1,1
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COMMENTS
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The sequence contains no primes congruent to 3 modulo 4 and all primes congruent to 5 modulo 8.
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LINKS
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MATHEMATICA
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fQ[n_] := Solve[x^2 + 1 == 2 n*y^2, {x, y}, Integers] != {}; Select[ Prime@ Range@ 160, fQ] (* Robert G. Wilson v, Dec 19 2013 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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