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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.
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.
The tables below list all of the divisors of the numbers 1 to 1000. ... 1, 199 2 200 1 deficient, prime 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200 12 465
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).
Increments of 1 for all integer number articles between −1 and 314 (number). Increments of 10 from 0 through 270 (number), to be made continuous with the span of consecutive articles. Increments of 100 from 0 through 1000 (number), starting at 100. Increments of 1000 between 1000 (number) through 9000 (number), and of 10,000 between 10,000 ...
So too are the thousands, with the number of thousands followed by the word "thousand". The number one thousand may be written 1 000 or 1000 or 1,000; larger numbers are written for example 10 000 or 10,000 for ease of reading. European languages that use the comma as a decimal separator may correspondingly use the period as a thousands separator.
Powerful numbers are also known as squareful, square-full, or 2-full. Paul Erdős and George Szekeres studied such numbers and Solomon W. Golomb named such numbers powerful. The following is a list of all powerful numbers between 1 and 1000:
The first number remaining in the list after 1 is 3, so every third number (beginning at 1) which remains in the list (not every multiple of 3) is eliminated. The first of these is 5: 1: 3: 7: 9: 13: 15: 19: 21: 25 The next surviving number is now 7, so every seventh remaining number is eliminated. The first of these is 19: 1: 3: 7: 9: 13: 15 ...