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prime number A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...
s maintained by Chris Caldwell at the
University of Tennessee at Martin The University of Tennessee at Martin (UT Martin or UTM) is a public university in Martin, Tennessee. It is one of the five campuses of the University of Tennessee system. UTM is the only public university in West Tennessee outside of Memphis ...
. 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. , the 5,000th prime has around 412,000 digits.. Retrieved on 2018-02-12. The PrimePages has articles on primes and
primality test A primality test is an algorithm for determining whether an input number is prime. Among other fields of mathematics, it is used for cryptography. Unlike integer factorization, primality tests do not generally give prime factors, only stating whet ...
ing. It includes "The Prime Glossary" with articles on hundreds of glosses related to primes, and "Prime Curios!" with thousands of curios about specific numbers. The database started as a list of
titanic prime A megaprime is a prime number with at least one million decimal digits. Other terms for large primes include titanic prime, coined by Samuel Yates in the 1980s for a prime with at least 1000 digits, and gigantic prime for a prime with at least 10 ...
s (primes with at least 1000 decimal digits) by
Samuel Yates Samuel Yates (May 10, 1919 in Savannah, Georgia – April 22, 1991 in New Brunswick, New Jersey) was a computer engineer and mathematician who first described unique primes in the 1980s. In 1984 he began the list of "Largest Known Primes" (today Th ...
. In subsequent years, the whole top-5,000 has consisted of
gigantic prime A megaprime is a prime number with at least one million decimal digits. Other terms for large primes include titanic prime, coined by Samuel Yates in the 1980s for a prime with at least 1000 digits, and gigantic prime for a prime with at least 10 ...
s (primes with at least 10,000 decimal digits). Primes of special forms are kept on the current lists if they are titanic and in the top-20 or top-5 for their form.


See also

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List of prime numbers This is a list of articles about prime numbers. A prime number (or ''prime'') is a natural number greater than 1 that has no positive divisors other than 1 and itself. By Euclid's theorem, there are an infinite number of prime numbers. Subsets o ...


References

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External links

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The Prime Glossary
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Prime Curios!
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Prime Curios! book
Prime numbers Mathematics websites University of Tennessee at Martin {{website-stub