Small gaps between primes
نویسنده
چکیده
The twin prime conjecture states that there are infinitely many pairs of distinct primes which differ by 2. Until recently this conjecture had seemed to be out of reach with current techniques. However, in 2013, the author proved that there are infinitely many pairs of distinct primes which differ by no more than B with B = 7 · 107. The value of B has been considerably improved by Polymath8 (a cooperative team) and Maynard.
منابع مشابه
Small Gaps between Primes I
Finding mathematical proofs for easily observed properties of the distribution of prime numbers is a difficult and often humbling task, at least for the authors of this paper. The twin prime conjecture is a famous example of this, but we are concerned here with the much more modest problem of proving that there are arbitrarily large primes that are “unusually close ” together. Statistically thi...
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تاریخ انتشار 2015