Let-F-n-2-2-n-1-the-fermat-number-Prove-that-F-n-is-prime-3-F-n-1-2-1-F-n-

Question Number 146072 by savitar last updated on 10/Jul/21

L e t F_{n} = 2^{2^{n}} + 1 t h e f e r m a t n u m b e r

P r o v e t h a t

F_{n} i s p r i m e \Leftrightarrow 3^{\frac{F_{n} - 1}{2}} \equiv 1 [F_{n}]