[seqfan] Anti-Carmichael pseudoprimes (2,3) and (3,2)

[Tomasz Ordowski]

Let's define:

(2,3) : Numbers k > 1 such that 2^k == 2 (mod k) and gcd(k,3^k-3) = 1.

(3,2) : Numbers k > 1 such that 3^k == 3 (mod k) and gcd(k,2^k-2) = 1.

Are there infinitely many such "anti-Carmichael pseudoprimes"?

Cf. https://oeis.org/draft/A316907

and https://oeis.org/draft/A318055

Thomas Ordowski
_______
Probably "anti-Carmichael numbers":
https://oeis.org/A121707 (see my conjectures).




<#m_4111392297100221659_m_-2787040546844139468_m_3553709511037561272_m_1109364061866188368_DAB4FAD8-2DD7-40BB-A1B8-4E2AA1F9FDF2>