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Fermat numbers and integers of the form a k + a l + p
Fermat numbers generalized Fermat numbers Erdos problems Zsigmondy’s theorem covering systems
2015/8/25
In 1849, A. de Polignac [20] conjectured that every odd number larger than 3 can be written as the sum of an odd prime and a power of 2. He found a counterexample 959 soon. In 1934, N. P. Ro- manoff [...
Overpseudoprimes, and Mersenne and Fermat numbers as primover numbers
Mersenne numbers cyclotomic cosets of 2 modulo n Poulet pseudoprime super-Poulet pseudoprime overpseudoprime
2012/6/19
We introduce a new class of pseudoprimes-so called "overpseudoprimes to base $b$", which is a subclass of strong pseudoprimes to base $b$. Denoting via $|b|_n$ the multiplicative order of $b$ modulo $...