A275880 Solutions to a certain congruence.

26, 244, 305, 338, 9755, 18205, 33076, 48775, 60707, 70673, 82690, 92410, 95990, 101651, 112102, 165380, 167690, 184820, 191980, 211178, 224204, 232373, 258322, 274730, 297743, 330760, 335380, 369640, 383960, 422356, 448408, 516644, 516934, 549460, 583444

Offset

1,1

Links

Lars Blomberg, Table of n, a(n) for n = 1..106

J. B. Cosgrave and K. Dilcher, A role for generalized Fermat numbers, Math. Comp. 86 (304) (2017) 899-933. See Table 2.1.

Formula

From Lars Blomberg, Nov 28 2016: (Start)

The Gaussian factorial is G(N,n) = prod_{j=1,N and gcd(j,n)=1} (j).

Values n are restricted to the form n=w*p^alfa, with w=q_1^beta_1 * ... * q_s^beta_s and p, q_1, ... q_s are distinct primes, p = 1(mod 3), q_1, ... q_s = -1(mod 3) with s>=0, alfa, beta_1, ... beta_s >=1. The case s = 0 is interpreted as w = 1.

Values n must also satisfy G(floor((n-1)/3), n) = 1 (mod n). (End)

Crossrefs

Cf. A275881.

Sequence in context: A163726 A293614 A245873 * A020537 A184461 A088889

Adjacent sequences: A275877 A275878 A275879 * A275881 A275882 A275883

Keyword

nonn

Author

N. J. A. Sloane, Aug 17 2016

Extensions

a(10)-a(35) from Lars Blomberg, Nov 28 2016

Status

approved