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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 known formulae to evaluate the prime-counting function (the number of primes smaller than a given value) faster than computing the primes. This has been used to compute that there are 1,925,320,391,606,803,968,923 primes (roughly 2 × 10 21 ) smaller than 10 23 .
As of December 2019 the largest number known to have been factored by a general-purpose algorithm is RSA-240, which has 240 decimal digits (795 bits) and is the product of two large primes. [154] Shor's algorithm can factor any integer in a polynomial number of steps on a quantum computer. [155]
In mathematics, factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is an integer factorization of 15, and (x – 2)(x + 2) is a polynomial ...
Such a number is a divisor of (⌈ / ⌉,,). The regular numbers are also called 5-smooth, indicating that their greatest prime factor is at most 5. [2] More generally, a k-smooth number is a number whose greatest prime factor is at most k. [3] The first few regular numbers are [2]
The Clark County Fire Department responded to a report of a fire on the restaurant's patio around 5:30 p.m. that evening, according to a press release obtained by PEOPLE.
Just look at the numbers. CBS drew a massive average audience of 31.2 million viewers for its national broadcast of the Kansas City Chiefs-Buffalo Bills showdown on Sunday ...
Some troops leave the battlefield injured. Others return from war with mental wounds. Yet many of the 2 million Iraq and Afghanistan veterans suffer from a condition the Defense Department refuses to acknowledge: Moral injury.