Authors: Marius Coman
In this paper I conjecture that for any Carmichael number C is true one of the following two statements: (i) there exist at least one prime q, q lesser than Sqr (C), such that p = (C – q)/(q – 1) is prime, power of prime or semiprime m*n, n > m, with the property that n – m + 1 is prime or power of prime or n + m – 1 is prime or power of prime; (ii) there exist at least one prime q, q lesser than Sqr (C), such that p = (C – q)/((q – 1)*2^n) is prime or power of prime. In two previous papers I made similar assumptions on the squares of primes of the form 10k + 1 respectively 10k + 9 and I always believed that Fermat pseudoprimes behave in several times like squares of primes.
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[v1] 2015-12-13 02:09:33
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