A118492 Number of Gaussian primes with floor(abs(p)) = n.

1, 1, 2, 1, 1, 2, 3, 1, 2, 3, 2, 2, 3, 1, 3, 4, 3, 3, 4, 4, 3, 2, 4, 5, 4, 3, 5, 4, 4, 4, 6, 4, 6, 5, 5, 4, 5, 4, 3, 7, 7, 3, 8, 5, 6, 5, 9, 8, 5, 4, 8, 9, 6, 5, 7, 7, 6, 8, 8, 8, 7, 6, 8, 7, 9, 8, 8, 7, 8, 9, 6, 10, 8, 7, 11, 9, 6, 10, 13, 8, 10, 10, 8, 8, 10, 12, 10, 11, 11, 9, 10, 10, 11, 10, 11, 11

Offset

1,3

Links

Table of n, a(n) for n=1..96.

Index entries for Gaussian integers and primes

Formula

a(n) = A077766(n) + 1 if n is 1 or a prime = 3 (mod 4), A077766(n) otherwise.

Crossrefs

Cf. A077766.

Sequence in context: A219794 A351469 A286334 * A079246 A309014 A070990

Adjacent sequences: A118489 A118490 A118491 * A118493 A118494 A118495

Keyword

easy,nonn

Author

Franklin T. Adams-Watters, May 05 2006

Status

approved