A155488 Primes p with property that p^2 is of the form x^2 + 40y^2.

7, 11, 13, 19, 23, 37, 41, 47, 53, 59, 89, 103, 127, 131, 139, 157, 167, 173, 179, 197, 211, 223, 241, 251, 263, 277, 281, 293, 317, 331, 367, 373, 379, 383, 397, 401, 409, 419, 449, 463, 487, 491, 499, 503, 521, 557, 569, 571, 601, 607, 613, 619, 641, 647

Offset

1,1

Comments

All p^2 are congruent to {1, 9} (mod 40), as in A107145.

Rational primes that decompose in the field Q(sqrt(-10)). - N. J. A. Sloane, Dec 26 2017

Links

Robert Price, Table of n, a(n) for n = 1..1000

Zak Seidov, First 1000 terms

Index to sequences related to decomposition of primes in quadratic fields

Maple

Load the Maple program HH given in A296920. Then run HH(-10, 200); This produces A155488, A296925, A293859. - N. J. A. Sloane, Dec 26 2017

Crossrefs

Cf. A107145 (Primes of the form x^2 + 40y^2).

Sequence in context: A160024 A063911 A087489 * A100350 A084467 A245179

Adjacent sequences: A155485 A155486 A155487 * A155489 A155490 A155491

Keyword

nonn

Author

Zak Seidov, Jan 23 2009

Status

approved