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The Twenty-Second Fermat Number is Composite

The Twenty-Second Fermat Number is Composite

We have shown by machine proof that F22 = 22 +1 is composite.In addition, we reenacted Young and Buell's 1988 resolution of F20 as composite, finding agreement with their final Selfridge-Hurwitz residues.We also resolved the character of all extant cofactors of Fn , n < 22, finding no new primes, …