Search results
Results from the WOW.Com Content Network
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.
Many 19th century mathematicians still considered to be prime, [42] and Derrick Norman Lehmer included in his list of primes less than ten million published in 1914. [43] Lists of primes that included 1 continued to be published as recently as 1956.
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.
See List of prime numbers for definitions and examples of many classes of primes. Pages in category "Classes of prime numbers" The following 76 pages are in this category, out of 76 total.
As a result, there is a one-to-one correspondence between Mersenne primes and even perfect numbers, so a list of one can be converted into a list of the other. [1] [5] [6] It is currently an open problem whether there are infinitely many Mersenne primes and even perfect numbers.
As of October 2024, the seven largest known primes are Mersenne primes. [3] The last eighteen record primes were Mersenne primes. [4] [5] The binary representation of any Mersenne prime is composed of all ones, since the binary form of 2 k − 1 is simply k ones. [6] Finding larger prime numbers is sometimes presented as a means to stronger ...
If q is prime, then there is at least one more prime that is not in the list, namely, q itself. If q is not prime, then some prime factor p divides q. If this factor p were in our list, then it would also divide P (since P is the product of every number in the list). If p divides P and q, then p must also divide the difference [3] of the two ...
The PrimePages is a website about prime numbers originally created by Chris Caldwell at the University of Tennessee at Martin [2] who maintained it from 1994 to 2023. The site maintains the list of the "5,000 largest known primes", selected smaller primes of special forms, and many "top twenty" lists for primes of various forms.