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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 natural numbers, starting with 1. The most familiar numbers are the natural numbers (sometimes called whole numbers or counting numbers): 1, 2, 3, and so on. Traditionally, the sequence of natural numbers started with 1 (0 was not even considered a number for the Ancient Greeks.)
1 ( one, unit, unity) is a number a single unit of counting or measurement. It is generally used as a standard mathematical length, for example, the unit vector is a vector of length 1. 1 is the first nonzero natural number and the first and smallest positive integer. This fundamental property has led to its unique uses in other fields, ranging ...
As of the chart dated August 17, twenty artists have charted at number one in 2024, with eight―¥$, Rich the Kid, Playboi Carti, Teddy Swims, Metro Boomin, Hozier, Sabrina Carpenter and Shaboozey―reaching the top spot for the first time.
Happy number. Tree showing all happy numbers up to 100. In number theory, a happy number is a number which eventually reaches 1 when replaced by the sum of the square of each digit. For instance, 13 is a happy number because , and . On the other hand, 4 is not a happy number because the sequence starting with and eventually reaches , the number ...
Year 100 was a leap year starting on Wednesday of the Julian calendar. The denomination 100 for this year has been used since the early medieval period.
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