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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).
Billboard Hot 100 & Best Sellers in Stores number-one singles by decade Before August 1958 1940–1949 1950–1958 After August 1958 1958–1969 1970–1979 1980–1989 1990–1999 2000–2009 2010–2019 2020–2029 US Singles Chart Billboard magazine The Billboard Hot 100 chart is the main song chart of the American music industry and is updated every week by the Billboard magazine. During ...
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
A song that topped multiple pre-Hot 100 charts is counted only once towards the artist's total. The ° symbol indicates that all or part of an artist's total includes number-ones occurring on any of the pre-Hot 100 chart(s) listed above (January 1, 1955 through July 28, 1958).
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 .
Both of the singles peaked at number two, and thus are not included here. [7] [8] Usher accumulated the most number-one entries (seven) and the most weeks atop the chart (42 weeks) throughout the 2000s. Beyoncé spent 36 weeks atop the Billboard Hot 100 with five entries, including the number-one song of 2007, "Irreplaceable".
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.
Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.
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