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It is an odd and prime number. In mathematics. 67 is: the 19th prime number (the next is 71). a Chen prime. [1] an irregular prime. [2] a lucky prime. [3]
A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than 1 ... 17, 37, 47, 67, 97, 107, 127, 137, 157, 167, 197, 227 ...
The existence of arbitrarily large prime gaps can be seen by noting that the sequence ! +,! +, …,! + consists of composite numbers, for any natural number . [67] However, large prime gaps occur much earlier than this argument shows. [68]
Mersenne primes and perfect numbers are two deeply interlinked types of natural numbers in number theory. Mersenne primes, named after the friar Marin Mersenne, are prime numbers that can be expressed as 2 p − 1 for some positive integer p. For example, 3 is a Mersenne prime as it is a prime number and is expressible as 2 2 − 1.
An odd prime number p is defined to be regular if it does not divide the class number of the pth cyclotomic field Q(ζ p), where ζ p is a primitive pth root of unity. The prime number 2 is often considered regular as well. The class number of the cyclotomic field is the number of ideals of the ring of integers Z(ζ p) up to equivalence.
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A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
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