A256348 Moduli n for which A248218(n) = 8.

193, 386, 461, 523, 579, 772, 887, 922, 1019, 1046, 1158, 1351, 1383, 1544, 1569, 1774, 1844, 1861, 2038, 2092, 2123, 2153, 2269, 2316, 2509, 2661, 2702, 2766, 2887, 3057, 3088, 3138, 3227, 3391, 3449, 3541, 3548, 3661, 3667, 3688, 3722, 3919

Offset: 1

Author

M. F. Hasler, Mar 25 2015

Keywords

• nonn

Comments

If x and y are members, then so is LCM(x,y). - Robert Israel, Mar 08 2021

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A248218, A248219, A256342 - A256349, A003095, A247981.

Programs

Maple

filter:= proc(n) local x,k,R;
  x:= 0; R[0]:= 0;
  for k from 1 do
    x:= x^2+1 mod n;
    if assigned(R[x]) then return evalb(k-R[x] = 8)
    else R[x]:= k fi
  od;
end proc:
select(filter, [$1..5000]); # Robert Israel, Mar 08 2021

Mathematica

filter[n_] := Module[{x, k, R}, x = 0; R[0] = 0; For[k = 1, True, k++, x = Mod[x^2+1, n]; If[IntegerQ[R[x]], Return[k - R[x] == 8], R[x] = k]]];
Select[Range[4000], filter] (* Jean-François Alcover, May 15 2023, after Robert Israel *)

PARI

for(i=1,3000,A248218(i)==8&&print1(i","))