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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.
The president of the United States is the head of state and head of government of the United States, [1] indirectly elected to a four-year term via the Electoral College. [2] The officeholder leads the executive branch of the federal government and is the commander-in-chief of the United States Armed Forces. [3]
The largest known prime number is 2 82,589,933 − 1, a number which has 24,862,048 digits when written in base 10. It was found via a computer volunteered by Patrick Laroche of the Great Internet Mersenne Prime Search (GIMPS) in 2018. [1] A 2020 plot of the number of digits in the largest known prime by year, since the electronic computer.
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).
Megaprime. A megaprime is a prime number with at least one million decimal digits. [ 1] Other terms for large primes include "titanic prime", coined by Samuel Yates in the 1980s for a prime with at least 1000 digits [ 2] (of which the smallest is 10 999 +7), [ 3] and "gigantic prime" for a prime with at least 10,000 digits [ 4] (of which the ...
Appearance. The following is a partial list of minor planets, running from minor-planet number 1 through 1000, inclusive. The primary data for this and other partial lists is based on JPL 's "Small-Body Orbital Elements" [ 1 ] and data available from the Minor Planet Center. [ 2 ][ 3 ] Critical list information is also provided by the MPC, [ 2 ...
For example, 3 is a Mersenne prime as it is a prime number and is expressible as 22 − 1. [ 1][ 2] The numbers p corresponding to Mersenne primes must themselves be prime, although not all primes p lead to Mersenne primes—for example, 211 − 1 = 2047 = 23 × 89. [ 3] Meanwhile, perfect numbers are natural numbers that equal the sum of their ...
Main article: list of numeral systems. Decimal: The standard Hindu–Arabic numeral system using base ten. Binary: The base-two numeral system used by computers, with digits 0 and 1. Ternary: The base-three numeral system with 0, 1, and 2 as digits. Quaternary: The base-four numeral system with 0, 1, 2, and 3 as digits.