A333743 Odd numbers k such that the multiplicative orders of 2 modulo k and modulo k+2 are equal.
109, 157, 307, 427, 499, 811, 1015, 1183, 1459, 2013, 2251, 2715, 3181, 3259, 3439, 3541, 3889, 3963, 4303, 4339, 4553, 4909, 5197, 6421, 6661, 6997, 8389, 8707, 8779, 9067, 9109, 9663, 10531, 10597, 11731, 12243, 12259, 13009, 13789, 14347, 14437, 14583, 16143
Offset: 1
Keywords
Examples
109 is a term since the multiplicative orders of 2 modulo 109 and modulo 111 are both equal to 36.
Links
- Amiram Eldar, Table of n, a(n) for n = 1..10000
- Eric Weisstein's World of Mathematics, Multiplicative Order.
- Wikipedia, Multiplicative order.
Programs
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Mathematica
Select[Range[1, 10^4, 2], MultiplicativeOrder[2, #] == MultiplicativeOrder[2, # + 2] &]