Mersenne prime
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1: 27.18 Methods of Computation: Primes
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►For small values of , primality is proven by showing that is not divisible by any prime not exceeding .
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2: 27.12 Asymptotic Formulas: Primes
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►where depends only on , and is the Euler totient function (§27.2).
►A Mersenne prime is a prime of the form .
The largest known prime (2018) is the Mersenne prime
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For current records see The Great Internet Mersenne Prime Search.
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3: 27.22 Software
4: Bibliography G
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5: Errata
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Paragraph Prime Number Theorem (in §27.12)
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The largest known prime, which is a Mersenne prime, was updated from (2009) to (2018).