A333134 Positive integers k such that 11^k == 2 (mod k).

1, 3, 413, 1329, 6587, 11629, 75761, 925071199, 9031140861789, 114876097917387, 1314252479257933

Offset

1,2

Comments

No other terms below 10^16. Some larger terms: 1584680529929001639, 15598123298097725094806152851164088027801112472240274433891889912569153113. - Max Alekseyev, Jan 07 2025

Links

Table of n, a(n) for n=1..11.

Prog

(PARI) for(k=1, 1e6, if(Mod(11, k)^k==2, print1(k", ")))

Crossrefs

Solutions to b^n == 2 (mod n): A015919 (b=2), A276671 (b=3), A130421 (b=4), A124246 (b=5), A277401 (b=7), this sequence (b=11), A116622 (b=13), A333269 (b=17).

Cf. A015960.

Sequence in context: A330014 A305664 A152517 * A366355 A213001 A229751

Adjacent sequences: A333131 A333132 A333133 * A333135 A333136 A333137

Keyword

nonn,more

Author

Seiichi Manyama, Mar 20 2020

Extensions

a(9)-a(11) from Max Alekseyev, Jan 07 2025

Status

approved