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Conjecture on the cycles of Fermat numbers and their factors
Let $F_n=2^{2^n}+1$ be the $n$ th Fermat number. For a positive integer $q$ , let $G_q/R_q$ denote the cycle decomposition of the multiplication-by- $2$ map modulo $q$ , and call each…
Conjectureopenfermat-numbers modular-arithmetic number-theoryarXiv posted 2 days ago
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Hardy–Wright's conjecture on the finiteness of Fermat primes
Hardy–Wright's conjecture. The number of Fermat primes is finite.
Conjecturerefutedfermat-numbers number-theory prime-sequencesarXiv posted 2 days ago

Conjecture on the cycles of Fermat numbers and their factors