If n 2 1, then the Fermat number Fn 22" +1 is prime if and only if %3D 3(F.-1)/2 = -1 mod (Fn).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 12E
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If n 2 1, then the Fermat number Fn = 22" + 1 is prime if and only if
3(Fn-1)/2 = -1 mod (Fn) .
Transcribed Image Text:If n 2 1, then the Fermat number Fn = 22" + 1 is prime if and only if 3(Fn-1)/2 = -1 mod (Fn) .
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