cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A381010 Positive integers k such that 2^(k+2) - 1 is divisible by k.

This page as a plain text file.
%I A381010 #29 Apr 23 2025 16:58:24
%S A381010 1,7,511,713,11023,15553,43873,81079,95263,323593,628153,2275183,
%T A381010 6520633,6955513,7947583,10817233,12627943,14223823,15346303,19852423,
%U A381010 27923663,28529473,29360527,31019623,39041863,41007823,79015273,134217727,143998193,213444943,227018383
%N A381010 Positive integers k such that 2^(k+2) - 1 is divisible by k.
%C A381010 7 is the only prime term.
%p A381010 q:= k-> 0=(2&^(k+2)-1) mod k:
%p A381010 select(q, [$1..1000000])[];  # _Alois P. Heinz_, Apr 10 2025
%o A381010 (Python)
%o A381010 def in_sequence(n):
%o A381010     return pow(2, n + 2, n) == 1 % n
%o A381010 (PARI) isok(k) = Mod(2, k)^(k+2) == 1; \\ _Michel Marcus_, Apr 10 2025
%Y A381010 Cf. A000225, A055685, A069927, A187787.
%K A381010 nonn
%O A381010 1,2
%A A381010 _Oisín Flynn-Connolly_, Apr 10 2025