A291637 Carmichael numbers (A002997) that are super-Poulet numbers (A050217).

294409, 1299963601, 4215885697, 4562359201, 7629221377, 13079177569, 19742849041, 45983665729, 65700513721, 147523256371, 168003672409, 227959335001, 459814831561, 582561482161, 1042789205881, 1297472175451, 1544001719761, 2718557844481, 3253891093249, 4116931056001, 4226818060921, 4406163138721, 4764162536641, 4790779641001, 5419967134849, 7298963852041, 8470346587201

Offset: 1

Author

Max Alekseyev and Thomas Ordowski, Aug 28 2017

Keywords

• nonn

Comments

Problem: are there infinitely many such numbers?

From Daniel Suteu, Sep 17 2020: (Start)

If we consider f(n) to be the smallest number in the sequence with n prime factors, then we have:

f(3) = 294409,

f(4) = 3018694485093841,

f(5) <= 521635331852681575100906881,

f(6) <= 2835402730651853232634509813787097410561,

f(7) <= 165784025660216242122027716057592895796242004385542265601. (End)

Links

• Amiram Eldar, Table of n, a(n) for n = 1..5328 (calculated using data from Claude Goutier; terms 1..983 from Max Alekseyev)
• Claude Goutier, Compressed text file carm10e22.gz containing all the Carmichael numbers up to 10^22.
• Index entries for sequences related to Carmichael numbers.

Crossrefs

Intersection of A178997 and A002997.