Annals of Mathematics· 2014Q1
Bounded gaps between primes
- 464citations
- Q1SCImago
- 2014year
Short summary
Mathematicians have proven that the gap between consecutive prime numbers is bounded, specifically showing that there exists a prime pair with a difference less than 71 million.
AI-generated from the title and abstract; the full text is not read.
Key points
- The difference between some consecutive primes is less than 71,070,000.
- This bound applies infinitely often.
- The result refines existing theoretical limits on prime number distribution.
AI-generated from the title and abstract; the full text is not read.
Abstract
It is proved that lim inf n (pn+1 -pn) < 7 10 7 , where pn is the n-th prime.
The authors' abstract, as published at the source. Annals of Mathematics, 2014 · DOI ↗
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Field: Algebra and Number Theory
Algebra and Number TheoryMathematics