A333134 - OEIS

%I #50 Jan 07 2025 09:53:06

%S 1,3,413,1329,6587,11629,75761,925071199,9031140861789,

%T 114876097917387,1314252479257933

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

%C No other terms below 10^16. Some larger terms: 1584680529929001639, 15598123298097725094806152851164088027801112472240274433891889912569153113. - _Max Alekseyev_, Jan 07 2025

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

%Y 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).

%Y Cf. A015960.

%K nonn,more

%O 1,2

%A _Seiichi Manyama_, Mar 20 2020

%E a(9)-a(11) from _Max Alekseyev_, Jan 07 2025