login
Odd numbers k for which 23 is the smallest positive i with Jacobi symbol J(i,k) != 1.
3

%I #13 Mar 02 2023 22:57:54

%S 529,10559,15791,34271,39959,50951,53231,53881,65159,69599,82871,

%T 85801,86641,88079,88919,92039,92569,97919,102001,113879,117121,

%U 123191,128519,129191,130729,138311,142271,144169,152591,157249,158759,164641,166319,166609,167879

%N Odd numbers k for which 23 is the smallest positive i with Jacobi symbol J(i,k) != 1.

%H Andy Huchala, <a href="/A112079/b112079.txt">Table of n, a(n) for n = 1..20000</a>

%o (Sage)

%o ls = []

%o for c in range(1, 10^5, 2):

%o for i in range(1, 24):

%o if jacobi_symbol(i, c) <= 0:

%o if i < 23:

%o break

%o else:

%o ls.append(c)

%o print(ls) # _Andy Huchala_, Feb 11 2023

%Y Row 9 of A112070.

%Y a(n) = 2*A112069(n) + 1.

%K nonn

%O 1,1

%A _Antti Karttunen_, Aug 27 2005

%E a(31)-a(35) from _Andy Huchala_, Feb 10 2023

%E Name simplified by _Sean A. Irvine_, Feb 25 2023