Fermat numbers satisfy a new necessary condition for pseudoprimality and sufficient condition for primality based on a congruence involving (F_n-1)/4, with an added characterization of pseudoprimality to base 3 linked to Pépin's test.
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Fermat Numbers: Pseudoprimality and Primality Constraints
Fermat numbers satisfy a new necessary condition for pseudoprimality and sufficient condition for primality based on a congruence involving (F_n-1)/4, with an added characterization of pseudoprimality to base 3 linked to Pépin's test.