Mersenne prime
= Mersenne prime
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{title2=$M_p=2^p-1\text{ prime}$}
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A <Mersenne prime> is a <Mersenne number> that is a <prime number>. It is the prime factor required by the <Euclid-Euler theorem>; $3,7,31,127$ generate $6,28,496,8128$. The family is named after <Marin Mersenne>.