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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 of the prime numbers may be generated with various formulas for primes.
A factorial x! is the product of all numbers from 1 to x. The first: 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600 (sequence A000142 in the OEIS). 0! = 1 is sometimes included. A k-smooth number (for a natural number k) has its prime factors ≤ k (so it is also j-smooth for any j > k).
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
This section illustrates several systems for naming large numbers, and shows how they can be extended past vigintillion . Traditional British usage assigned new names for each power of one million (the long scale ): 1,000,000 = 1 million; 1,000,0002 = 1 billion; 1,000,0003 = 1 trillion; and so on. It was adapted from French usage, and is ...
This is a list of songs that have peaked at number one on the Billboard Hot 100 and the magazine's national singles charts that preceded it. Introduced in 1958, the Hot 100 is the pre-eminent singles chart in the United States, currently monitoring the most popular singles in terms of popular radio play, single purchases and online streaming.
Number ones. The Bee Gees scored the most number-one hits (9 songs) and had the longest cumulative run atop the Billboard Hot 100 chart (27 weeks) during the 1970s. Rod Stewart remained at the top of the Billboard Hot 100 chart for 17 weeks during the 1970s. Elton John amassed the second-most number-one hits on the Hot 100 chart during the ...
The Natural Area Code, this is the smallest base such that all of 1 / 2 to 1 / 6 terminate, a number n is a regular number if and only if 1 / n terminates in base 30. 32: Duotrigesimal: Found in the Ngiti language. 33: Use of letters (except I, O, Q) with digits in vehicle registration plates of Hong Kong. 34
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 2p − 1 for some positive integer p. For example, 3 is a Mersenne prime as it is a prime number and is expressible as 22 − 1.