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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.
The naming procedure for large numbers is based on taking the number n occurring in 10 3n+3 (short scale) or 10 6n (long scale) and concatenating Latin roots for its units, tens, and hundreds place, together with the suffix -illion. In this way, numbers up to 10 3·999+3 = 10 3000 (short scale) or 10 6·999 = 10 5994 (long scale
Combined with the fact that P 4k −1 is a multiple of 8 whenever k > 1, we have P 4k −1 ≡ 128 (mod 200) and ends in 128, 328, 528, 728 or 928. ( P 3 = 28 is only a multiple of 4, not of 8, so is only equal to the others modulo 100.)
The number appears in the Padovan sequence, preceded by 86, 114, 151 (it is the sum of the first two of these). [1] The sum of Euler's totient function φ(x) over the first twenty-five integers is 200. 200 is the smallest base 10 unprimeable number – it cannot be turned into a prime number by changing just one of its digits to any other digit.
Reached number one Album Artist(s) Weeks at number one References 2020; Hollywood's Bleeding (2019) by Post Malone was the best performing album on the 2020 Year-End list (December 2019 to November 2020), but its reign at number one on the Billboard 200 occurred in late 2019.
It broke several all-time Billboard 200 records, including becoming the first album by a female artist to spend its first 12 weeks at the chart's number-one spot. [1] It also earned over 2 million album-equivalent units in its first week—the largest sum of the year and a record seventh album by Swift to earn more than a million units in a ...