A162574 -id:A162574 - cp's OEIS frontend

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

Vladimir Joseph Stephan Orlovsky, Jul 06 2009

nonn

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

Cf. A162573, A162574

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! ]

A162576 Primes of the form x^2+2^x+y^2+2^y, with x and y nonnegative.

Original entry on oeis.org

11, 89, 103, 157, 277, 337, 601, 1181, 1301, 2269, 4243, 4297, 8369, 8461, 8681, 12601, 18749, 65809, 67961, 135601, 264637, 524681, 524969, 525773, 1049569, 2098717, 4326149, 8389237, 25166929, 33555089, 33555377, 34604033, 67109543

Offset: 1

Vladimir Joseph Stephan Orlovsky, Jul 06 2009

nonn

Cf. A162573, A162574, A162575

f[x_,y_]:=x^2+2^x+y^2+2^y;lst={};Do[Do[p=f[x,y];If[PrimeQ[p],AppendTo[lst,p]],{y,4*5!}],{x,4*5!}];Take[Union[lst],3*4! ]

for(x=2,100,for(y=1,x-1,p=x^2+2^x+y^2+2^y;if(isprime(p),print1(p","))))

Program by Charles R Greathouse IV, Oct 12 2009

A162577 Primes of the form (x+y)^2+2^x+2^y, with x and y nonnegative.

Original entry on oeis.org

2, 37, 43, 73, 101, 457, 1201, 2221, 4241, 6673, 49993, 65827, 131437, 262469, 262897, 1181017, 2098249, 4195273, 4195777, 4720273, 8389237, 8393929, 8652433, 16778089, 16909969, 33555289, 33556681, 33621649, 67110601

Offset: 1

Vladimir Joseph Stephan Orlovsky, Jul 06 2009

nonn

Cf. A162573, A162574, A162575, A162576

Corrected by Charles R Greathouse IV, Nov 11 2009

cp's OEIS Frontend

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

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Mathematica

A162576 Primes of the form x^2+2^x+y^2+2^y, with x and y nonnegative.

Views

Author

Keywords

Crossrefs

Programs

Mathematica

PARI

Extensions

A162577 Primes of the form (x+y)^2+2^x+2^y, with x and y nonnegative.

Views

Author

Keywords

Crossrefs

Extensions