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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.
Navigation charts at a scale of 1:50,000 or smaller (1:100,000 is a smaller scale than 1:50,000) use the Mercator projection, and have since at least the 1930s. [ 29 ] [ 30 ] The Mercator projection has the property of maintaining angles correctly, so that a line on the earth's surface that crosses all the meridians at the same angle (a rhumb ...
Ω(n), the prime omega function, is the number of prime factors of n counted with multiplicity (so it is the sum of all prime factor multiplicities). A prime number has Ω(n) = 1. The first: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37 (sequence A000040 in the OEIS). There are many special types of prime numbers. A composite number has Ω(n) > 1.
8435×2 6786180 – 1 7 January 2021 2,042,848 317 51×2 6753404 + 1 26 May 2020 2,032,979 318 93×2 6750726 + 1 18 September 2023 2,032,173 319 69×2 6745775 + 1 21 March 2023 2,030,683 320 9995×2 6711008 – 1 31 December 2020 2,020,219 321 50454356 262144 + 1 1 March 2025 2,019,269 322 50449664 262144 + 1 28 February 2025 2,019,259 323 ...
For example, 3 is a Mersenne prime as it is a prime number and is expressible as 2 2 − 1. [1] [2] The exponents p corresponding to Mersenne primes must themselves be prime, although the vast majority of primes p do not lead to Mersenne primes—for example, 2 11 − 1 = 2047 = 23 × 89. [3]
The PrimePages is a website about prime numbers originally created by Chris Caldwell at the University of Tennessee at Martin [2] who maintained it from 1994 to 2023.. The site maintains the list of the "5,000 largest known primes", selected smaller primes of special forms, and many "top twenty" lists for primes of various forms.
File:Admiralty Chart No 137 Plans in the Firth of Forth, Published 1918.jpg cropped 59 % horizontally, 35 % vertically using CropTool with lossless mode. File usage The following page uses this file:
A TSS is typically created in locations with large numbers of ship movements and vessels travelling in different directions and where there might otherwise be a high risk of collisions. Details of traffic separation schemes and similar routing-systems can be found on Admiralty charts .