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{{#invoke:Infobox|infobox}} The number 2,147,483,647 (two billion, one hundred and forty-seven million, four hundred and eighty-three thousand, six hundred and forty-seven) is the eighth Mersenne prime, equal to 231 − 1. It is one of only four known double Mersenne primes.<ref>{{#invoke:citation/CS1|citation |CitationClass=citation }}.</ref>

The primality of this number was proven by Leonhard Euler, who reported the proof in a letter to Daniel Bernoulli written in 1772.<ref>{{#invoke:citation/CS1|citation |CitationClass=citation }}.</ref> Euler used trial division, improving on Cataldi's method, so that at most 372 divisions were needed.<ref>{{#invoke:citation/CS1|citation |CitationClass=citation }}.</ref> It thus improved upon the previous record-holding prime, 6,700,417, also discovered by Euler, forty years earlier. The number 2,147,483,647 remained the largest known prime until 1855.<ref>{{#invoke:citation/CS1|citation |CitationClass=citation }}.</ref>


2147483647 (number) sections
Intro  Barlow's prediction  In computing  See also  References  External links  

PREVIOUS: IntroNEXT: Barlow's prediction
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Number::title    Prime::first    Citation::euler    Hundred::books    Integer::location    Known::greatest

{{#invoke:Infobox|infobox}} The number 2,147,483,647 (two billion, one hundred and forty-seven million, four hundred and eighty-three thousand, six hundred and forty-seven) is the eighth Mersenne prime, equal to 231 − 1. It is one of only four known double Mersenne primes.<ref>{{#invoke:citation/CS1|citation |CitationClass=citation }}.</ref>

The primality of this number was proven by Leonhard Euler, who reported the proof in a letter to Daniel Bernoulli written in 1772.<ref>{{#invoke:citation/CS1|citation |CitationClass=citation }}.</ref> Euler used trial division, improving on Cataldi's method, so that at most 372 divisions were needed.<ref>{{#invoke:citation/CS1|citation |CitationClass=citation }}.</ref> It thus improved upon the previous record-holding prime, 6,700,417, also discovered by Euler, forty years earlier. The number 2,147,483,647 remained the largest known prime until 1855.<ref>{{#invoke:citation/CS1|citation |CitationClass=citation }}.</ref>


2147483647 (number) sections
Intro  Barlow's prediction  In computing  See also  References  External links  

PREVIOUS: IntroNEXT: Barlow's prediction
<<>>