: a pair of prime numbers (such as 3 and 5 or 11 and 13) differing by two
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But for more complicated sieves, such as the ones for twin primes, the crucial information often concerns the remainders that primes leave behind when divided by different numbers.—Erica Klarreich, Quanta Magazine, 26 Oct. 2023 Admittedly, 70 million is a lot bigger than 2, so the twin primes conjecture remains unsolved.—Julie Rehmeyer, Discover Magazine, 7 Jan. 2014 Mathematicians have wanted to learn about the behavior of pairs of primes, in particular pairs separated by one number, such as the twin primes in the examples above.—Amir Aczel, Discover Magazine, 10 July 2013 When two primes have a difference of 2, they’re called twin primes.—Dave Linkletter, Popular Mechanics, 22 July 2022 For example, two of the biggest open problems in the field of number theory are the twin primes conjecture and the Goldbach conjecture.—Quanta Magazine, 1 June 2020 The twin primes and Goldbach conjectures are both questions about prime numbers.—Quanta Magazine, 1 June 2020 But progress on the twin primes conjecture has stalled.—Wired, 29 Sep. 2019
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