::2147483647 (number)
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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
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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: Intro | NEXT: Barlow's prediction |
| << | >> |