A162574 Primes of the form 2^x+x+y+2^y, with x and y integers of any sign.

2, 7, 17, 23, 31, 43, 71, 73, 107, 541, 2129, 4111, 4243, 9239, 18457, 32789, 32803, 65563, 65687, 73757, 135197, 147487, 264221, 589859, 786469, 1048633, 1049117, 4194329, 4194847, 4227109, 8388637, 8392739, 8405029, 8650793, 16908329

Offset

1,1

Links

Table of n, a(n) for n=1..35.

Example

a(1) = A006127(1)+A006127(1) =2. a(2) = A006127(1)+A006127(3)=7.
a(3) = A006127(4)+A006127(3) =17. a(4) = A006127(5)+A006127(2) = 23.

Mathematica

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! ]

Crossrefs

Cf. A162573, A006127.

Sequence in context: A049558 A049546 A049578 * A215823 A049542 A049582

Adjacent sequences: A162571 A162572 A162573 * A162575 A162576 A162577

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jul 06 2009

Extensions

Examples added by R. J. Mathar, Sep 17 2009

Status

approved