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A250481
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Primes of the form 2^x + y^2 with x, y > 0.
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6
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3, 5, 11, 13, 17, 29, 41, 53, 73, 83, 89, 97, 113, 137, 173, 227, 229, 233, 241, 257, 281, 293, 337, 353, 443, 449, 457, 521, 569, 593, 617, 641, 733, 761, 857, 881, 953, 977, 1033, 1049, 1091, 1093, 1097, 1153, 1193, 1217, 1229, 1249, 1289, 1373
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OFFSET
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1,1
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LINKS
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EXAMPLE
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11 is in the sequence because 2^1+3^2 = 11.
97 is in the sequence because 2^4+9^2 = 97.
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MATHEMATICA
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f[x_, y_]:=2^x + y^2; lst={}; Do[p=f[x, y]; If[PrimeQ[p], AppendTo[lst, p]], {y, 50}, {x, 50}]; Take[Union[lst], 50]
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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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