A counterexampleanyoneII
I have a hunch that the factors of a Carmichael Number cannot all be
Mersenne.Counterexamples are welcome. A.K. Devaraj 
The prime factors of 1105 (the second Carmichael number) are 5, 11 and 17.
None of these prime factors are Mersenne numbers. 
If you want that all prime factors of the Carmichael number have to be Mersenne numbers, it cannot be of the known form (6k+1)(12k+1)(18k+1), where each factor is prime. But most Carmichael numbers do not have this form.

All mersenne are base 2 prime? So all Mp are counter examples

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