Paolo Starni

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math.GM2026

A Pépin-Type Characterization for Fermat Pseudoprimes

Paolo Starni

Pépin's primality test asserts that, for $n \geq 2$ , \[ 3^{(F_n-1)/2}\equiv -1 \pmod{F_n} \] if and only if $F_{n}$ is prime. We establish a natural analogue of Pépin's criterion for ps…

math.GM2017

Is Goldbach Conjecture true?

Paolo Starni

We answer the question positively. In fact, we believe to have proved that every even integer $2 N \geq 3 \times 1 0^{6}$ is the sum of two odd distinct primes. Numerical calculations ex…