A162575 Primes of the form 2^x+2*x+y+2^y, with x and y integers of any sign.

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

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

Table of n, a(n) for n=1..45.

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