A087870 Primes of the form (4n+1)^2 + (4m+2)^2 where n=1,2,3.., m=1,2,3..

61, 181, 269, 277, 349, 389, 509, 541, 613, 653, 661, 701, 757, 773, 821, 877, 941, 1069, 1109, 1117, 1181, 1237, 1301, 1597, 1613, 1693, 1733, 1741, 1789, 1877, 1933, 1997, 2053, 2069, 2141, 2221, 2269, 2357, 2389, 2437, 2557, 2741, 2789, 2837, 2909

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Mathematica

Union[Select[Flatten[Table[(4n+1)^2+(4m+2)^2, {n, 100}, {m, 100}]], PrimeQ]] (* T. D. Noe, Nov 02 2006 *)

Prog

(PARI) fourmp1a(n) = { for(y=1, n, for(x=1, n, z=(4*y+1)^2+(4*x+2)^2; if(isprime(z), print1(z", "); break) ); ) }

Crossrefs

Sequence in context: A057216 A139993 A088955 * A121513 A139508 A364716

Adjacent sequences: A087867 A087868 A087869 * A087871 A087872 A087873

Keyword

nonn

Author

Cino Hilliard, Oct 10 2003

Extensions

Corrected by T. D. Noe, Nov 02 2006

Status

approved