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All prime numbers from 31 to 6,469,693,189 for free download. Lists of Primes at the Prime Pages. The Nth Prime Page Nth prime through n=10^12, pi(x) through x=3*10^13, Random primes in same range. Interface to a list of the first 98 million primes (primes less than 2,000,000,000) Weisstein, Eric W. "Prime Number Sequences". MathWorld.
The following is a list of PC games that have been deemed monetarily free by their creator or copyright holder. This includes free-to-play games, even if they include monetized micro transactions. List
The following list of PC games contains an alphabetized and segmented table of video games that are playable on the PC, but not necessarily exclusively on the PC. It includes games for multiple PC operating systems, such as Windows, Linux, DOS, Unix and OS X. This list does not include games that can only be played on PC by use of an emulator.
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This is due to the Euclid–Euler theorem, partially proved by Euclid and completed by Leonhard Euler: even numbers are perfect if and only if they can be expressed in the form 2 p−1 × (2 p − 1), where 2 p − 1 is a Mersenne prime. In other words, all numbers that fit that expression are perfect, while all even perfect numbers fit that form.
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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.