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.

A292742 Odd numbers k such that 2^psi(k) == phi(k) (mod k).

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%I A292742 #14 Jul 24 2021 01:10:56
%S A292742 1,5,10393,45411263,31761301667,70697569679
%N A292742 Odd numbers k such that 2^psi(k) == phi(k) (mod k).
%C A292742 a(7) > 5*10^11. - _Giovanni Resta_, Sep 23 2017
%e A292742 10393 = 19*547 is a term because 2^((19 + 1)*(547 + 1)) == (19 - 1)*(547 - 1) (mod 19*547).
%o A292742 (PARI) a001615(n) = my(f=factor(n)); prod(i=1, #f~, f[i, 1]^f[i, 2] + f[i, 1]^(f[i, 2]-1));
%o A292742 isok(n) = n%2==1 && Mod(2, n)^a001615(n)==eulerphi(n); \\ after _Charles R Greathouse IV_ at A001615
%Y A292742 Cf. A000010, A001615, A292544.
%K A292742 nonn,more
%O A292742 1,2
%A A292742 _Altug Alkan_, Sep 22 2017
%E A292742 a(5)-a(6) from _Giovanni Resta_, Sep 23 2017