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

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..400

Eric Weisstein's World of Mathematics, Multiplicative Order.

Wikipedia, Multiplicative order.

Example

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

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

Crossrefs

Cf. A002326, A333743.

Sequence in context: A114683 A184647 A233753 * A127879 A206760 A186615

Adjacent sequences: A333741 A333742 A333743 * A333745 A333746 A333747

Keyword

nonn

Author

Amiram Eldar, Apr 03 2020

Status

approved