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    Probable Prime

    Definition

    A probable prime is a number satisfying Fermat's little theorem (or some other primality test) for some nontrivial base. A probable prime which is shown to be composite is called a pseudoprime; otherwise, it is a (true) prime. As of May 2024, the largest known probable primes are the repunit primes R_8177207 | = | (10^8177207 - 1)/9 R_5794777 | = | (10^5794777 - 1)/9 which have 8177207 and 5794777 decimal digits, respectively (Lifchitz and Lifchitz).

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