A333744 Odd numbers k such that the multiplicative orders of 2 modulo k, k+2 and k+4 are equal.

3757261, 10440301, 24906181, 35391061, 35781661, 38921941, 40890541, 51661261, 67342981, 75938701, 76528741, 79017061, 91043101, 124464181, 149911141, 151954501, 152670541, 152698681, 162179581, 177779461, 184238581, 190380061, 199495741, 228968581, 230833441

Offset: 1

Author

Amiram Eldar, Apr 03 2020

Keywords

• nonn

Examples

			3757261 is a term since the multiplicative orders of 2 modulo 3757261, 3757263 and 3757265 are all equal to 250484.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..400
• Eric Weisstein's World of Mathematics, Multiplicative Order.
• Wikipedia, Multiplicative order.

Crossrefs

Cf. A002326, A333743.

Programs

Mathematica

f[n_] := MultiplicativeOrder[2, n]; f1 = f[1]; f2 = f[3]; seq = {}; Do[f3 = f[n]; If[f1 == f2 && f2 == f3, AppendTo[seq, n - 4]]; f1 = f2; f2 = f3, {n, 5, 10^8, 2}]; seq