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A087880 Primes of the form (4n+3)^2 + (4m+2)^2, m,n = 0,1,2.. 1
13, 53, 109, 149, 157, 229, 317, 373, 397, 421, 461, 557, 709, 733, 797, 829, 853, 997, 1013, 1021, 1061, 1213, 1229, 1277, 1381, 1429, 1453, 1493, 1549, 1621, 1637, 1669, 1709, 1861, 1901, 1949, 1973, 2213, 2237, 2293, 2309, 2333, 2341, 2381, 2477, 2549 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

MAPLE

N:= 10000:

A:= NULL:

for x from 3 by 4 while x^2 < N do

  for y from 2 by 4 while x^2 + y^2 < N do

    v:= x^2 + y^2;

    if isprime(v) then A:= A, v fi

od od:

sort(convert({A}, list)); # Robert Israel, Aug 26 2018

MATHEMATICA

With[{nn=20}, Select[Flatten[Table[(4n+3)^2+(4m+2)^2, {n, 0, nn}, {m, 0, nn}], 1], PrimeQ]]//Union (* Harvey P. Dale, Mar 04 2018 *)

CROSSREFS

Sequence in context: A307749 A031905 A214523 * A228872 A041322 A022284

Adjacent sequences:  A087877 A087878 A087879 * A087881 A087882 A087883

KEYWORD

nonn

AUTHOR

Cino Hilliard, Oct 11 2003

STATUS

approved

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Last modified August 4 09:41 EDT 2021. Contains 346446 sequences. (Running on oeis4.)