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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]
Prime Minister's XI 3 runs 2 Dec 1993 Paul Keating: South Africa: One day match Prime Minister's XI 4 runs 9 Nov 1994 Paul Keating England: One day match Prime Minister's XI 2 wickets 5 Dec 1995 Paul Keating West Indies: One day match Match abandoned [a] 10 Dec 1996 John Howard West Indies: One day match Prime Minister's XI 58 runs 2 Dec 1997 ...
An associated prime of an R-module M is an ideal of the form () where N is a prime submodule of M. In commutative algebra the usual definition is different, but equivalent: [ 4 ] if R is commutative, an associated prime P of M is a prime ideal of the form A n n R ( m ) {\displaystyle \mathrm {Ann} _{R}(m)\,} for a nonzero element m of M or ...
Brooke Christa Shields (born May 31, 1965) is an American actress. A child model starting at the age of 11 months, [2] Shields gained widespread notoriety at age 12 for her leading role in Louis Malle's film Pretty Baby (1978), in which she appeared in nude scenes shot when she was 11 years old. [3]
Texas A&M University (Texas A&M, A&M, TA&M, or TAMU) is a public, land-grant, research university in College Station, Texas, United States.It was founded in 1876 and became the flagship institution of the Texas A&M University System in 1948.