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In algebra and number theory, Wilson's theorem states that a natural number n > 1 is a prime number if and only if the product of all the positive integers less than n is one less than a multiple of n.
Because the set of primes is a computably enumerable set, by Matiyasevich's theorem, it can be obtained from a system of Diophantine equations. Jones et al. (1976) found an explicit set of 14 Diophantine equations in 26 variables, such that a given number k + 2 is prime if and only if that system has a solution in nonnegative integers: [7]
The Wilson quotient W(p) is defined as: = ()! + If p is a prime number, the quotient is an integer by Wilson's theorem; moreover, if p is composite, the quotient is not an integer. If p divides W(p), it is called a Wilson prime. The integer values of W(p) are (sequence A007619 in the OEIS): W(2) = 1
In number theory, a Wilson prime is a prime number such that divides ()! +, where "!" denotes the factorial function; compare this with Wilson's theorem, which states that every prime divides ()! +. Both are named for 18th-century English mathematician John Wilson ; in 1770, Edward Waring credited the theorem to Wilson, [ 1 ] although it had ...
To make this 20-minute vegan curry even faster, buy precut veggies from the salad bar at the grocery store. To make it a full, satisfying dinner, serve over cooked brown rice.
1.1 Wilson's theorem. 3 comments. 1.2 Compression of Primes. 3 comments. 1.3 Sagarin rankings + possibilities. 3 comments. Toggle the table of contents.
Whelp, that sure was a lot of blowouts in the first round of the College Football Playoff. On this week's overreaction pod, Dan Wetzel Ross Dellenger and SI's Pat Forde acknowledge what led to ...
The Atlanta Fed upgraded its gross domestic product growth estimate for the fourth quarter to a 3.2% annualized rate from a 2.7% pace earlier. The economy grew at a 2.8% rate in the third quarter.