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The following table lists the progression of the largest known prime number in ascending order. [4] Here M p = 2 p − 1 is the Mersenne number with exponent p, where p is a prime number. The longest record-holder known was M 19 = 524,287, which was the largest known prime for 144 years. No records are known prior to 1456.
The table below lists the largest currently known prime numbers and probable primes (PRPs) as tracked by the PrimePages and by Henri & Renaud Lifchitz's PRP Records. Numbers with more than 2,000,000 digits are shown.
Mersenne primes and perfect numbers are two deeply interlinked types of natural numbers in number theory. Mersenne primes, named after the friar Marin Mersenne, are prime numbers that can be expressed as 2 p − 1 for some positive integer p. For example, 3 is a Mersenne prime as it is a prime number and is expressible as 2 2 − 1.
A number is only considered a Mersenne prime if it can be written in the form 2ᵖ-1. Unlike other large prime numbers used in some applications to protect internet security, Mersenne primes are ...
This includes the largest known prime 2 136,279,841-1, which is the 52nd Mersenne prime. Mersenne divisors ... "New Largest Known Prime Number". Numberphile.
Mersenne numbers are very good test cases for the special number field sieve algorithm, so often the largest number factorized with this algorithm has been a Mersenne number. As of June 2019 [update] , 2 1,193 − 1 is the record-holder, [ 27 ] having been factored with a variant of the special number field sieve that allows the factorization ...
The First Book of the Chronicles 2 Chronicles: 2 Paralipomenon: 2 Paralipomenon: The Second Book of the Chronicles Ezra: 1 Esdrae: 1 Esdras: Ezra Nehemiah: Nehemiae also known as 2 Esdrae: 2 Esdras: The Book of Nehemiah Esther: Esther 1,1 – 10,3: Esther 1:1 – 10:3: The Book of Esther Job: Job: Job: The Book of Job Psalms: Psalmi: Psalms ...
Psalm 151 is a short psalm found in most copies of the Septuagint (LXX), [1] but not in the Masoretic Text of the Hebrew Bible. The title given to the psalm in the Septuagint indicates that it is supernumerary, as no number is affixed to it. The psalm is ascribed to David. [2] It is also included in some manuscripts of the Peshitta.
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