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 A162575 Primes of the form 2^x+2*x+y+2^y, with x and y integers of any sign. 2
 2, 5, 7, 11, 17, 19, 41, 43, 53, 61, 71, 79, 113, 139, 149, 179, 211, 277, 283, 541, 563, 1051, 2063, 2081, 2083, 2591, 4129, 4157, 8209, 8219, 8221, 8353, 16547, 32797, 32801, 32933, 33827, 65579, 65581, 66089, 131113, 131143, 131231, 131627, 135209 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Because 2^x and 2^y add to an integer only if x=y=-1, the set of x and y to be considered reduces to the set of x, y >= 0. - R. J. Mathar, Oct 29 2011 LINKS MATHEMATICA f[x_, y_]:=2^x+2*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! ] CROSSREFS Cf. A162573, A162574 Sequence in context: A038611 A265761 A023213 * A066408 A142352 A290012 Adjacent sequences:  A162572 A162573 A162574 * A162576 A162577 A162578 KEYWORD nonn AUTHOR Vladimir Joseph Stephan Orlovsky, Jul 06 2009 STATUS approved

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Last modified April 5 12:52 EDT 2020. Contains 333241 sequences. (Running on oeis4.)