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alpertron · 2005-12-12, 15:22

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.

2005-12-12, 15:22	#3
alpertron Aug 2002 Buenos Aires, Argentina 1341₁₀ Posts	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.