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Solutions to a certain congruence.
2

%I #16 Mar 20 2024 11:32:46

%S 26,244,305,338,9755,18205,33076,48775,60707,70673,82690,92410,95990,

%T 101651,112102,165380,167690,184820,191980,211178,224204,232373,

%U 258322,274730,297743,330760,335380,369640,383960,422356,448408,516644,516934,549460,583444

%N Solutions to a certain congruence.

%H Lars Blomberg, <a href="/A275880/b275880.txt">Table of n, a(n) for n = 1..106</a>

%H J. B. Cosgrave and K. Dilcher, <a href="https://doi.org/10.1090/mcom/3111">A role for generalized Fermat numbers</a>, Math. Comp. 86 (304) (2017) 899-933. See Table 2.1.

%F From _Lars Blomberg_, Nov 28 2016: (Start)

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

%F 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.

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

%Y Cf. A275881.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Aug 17 2016

%E a(10)-a(35) from _Lars Blomberg_, Nov 28 2016