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A162573
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Primes of the form 2^x+x*y+2^y, with x and y integers of any sign.
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4
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2, 3, 5, 13, 17, 89, 137, 157, 257, 523, 547, 2089, 2659, 4217, 8821, 16553, 34981, 65537, 65761, 262433, 524309, 524353, 524971, 2097223, 2097289, 2097427, 2099431, 8390909, 10486243, 35652109, 134217757, 536871089, 536873279
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OFFSET
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1,1
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COMMENTS
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Allowing either sign in x or y leads to fractions 2^x or 2^y if x or y are negative,
but since the sum must be integer, only the case x=y=-1 matters in these quadrants. - R. J. Mathar, Jul 31 2007
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LINKS
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MATHEMATICA
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f[x_, y_]:=2^x+x*y+2^y; lst={}; Do[Do[p=f[x, y]; If[PrimeQ[p], AppendTo[lst, p]], {y, -5!, 6!}], {x, -5!, 6!}]; Take[Union[lst], 5! ]
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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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