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This conjecture was stated in 1637 by Pierre de Fermat, but it was proved only in 1994 by Andrew Wiles, who used tools including scheme theory from algebraic geometry, category theory, and homological algebra. [18] Another example is Goldbach's conjecture, which asserts that every even integer greater than 2 is the sum of two prime numbers.
Goldbach's weak conjecture, every odd number greater than 5 can be expressed as the sum of three primes, is a consequence of Goldbach's conjecture. Ivan Vinogradov proved it for large enough n (Vinogradov's theorem) in 1937, [1] and Harald Helfgott extended this to a full proof of Goldbach's weak conjecture in 2013.
[8] Several students, such as Lisa Sauermann , Reid W. Barton , Nicușor Dan and Ciprian Manolescu have performed exceptionally well in the IMO, winning multiple gold medals. Others, such as Terence Tao , Artur Avila , Grigori Perelman , Ngô Bảo Châu and Maryam Mirzakhani have gone on to become notable mathematicians .
Three people, including the shooter, are dead, while six others were injured Monday after a 15-year-old student opened fire at a private school in Madison, Wisconsin in the latest school shooting ...
Pearson's correlation coefficient is the covariance of the two variables divided by the product of their standard deviations. The form of the definition involves a "product moment", that is, the mean (the first moment about the origin) of the product of the mean-adjusted random variables; hence the modifier product-moment in the name.
President Joe Biden's administration called on U.S. lawmakers on Monday to quickly pass roughly $100 billion in emergency disaster relief funding in the wake of damaging storms that have depleted ...
The European Commission should expand plans to strengthen its computer chip sector to include "foundational and legacy" semiconductors, where much of the region's strengths lie, the head of ...
[8] [9] It was also described as the wealthiest administration in modern history, with over 13 billionaires chosen to take government posts. [10] [11] The following have been named as Cabinet appointees by the president-elect of the United States.