**Problems from the ARCC Workshop “Gaps Between Primes”**

arXiv:1707.05437v1 [math.NT] 18 Jul 2017 Bounded gaps between primes in short intervals Ryan Alweiss and Sammy Luo July 19, 2017 Abstract Baker, Harman, and Pintz showed that a weak form of the Prime Number... of bounded gaps between in nitely many successive primes. In 2005, investigating this relaxed version of the k-tuples conjecture, Goldston, Pintz and Yildirim designed a sieve method (i.e. the GPY sieve) to deal with some problems related to the

**Gaps Between Primes maths-people.anu.edu.au**

One of the key ingredients in the proof of bounded gaps between primes in the rational case is the BombieriVinogradov theorem. Let ? ( x ) denote the number of primes upto x . Put for ( a , q ) = 1 ,...off on average: Among large numbers, the expected gap between prime numbers is approximately 2.3 times the number of digits; so, for example, among 100-digit numbers, the expected gap between primes is about 230.

**Erratum to “Bounded Gaps Between Primes of a Special Form**

Bounded gaps between primes The American Institute of Mathematics The following compilation of participant contributions is only intended as a lead-in to the heroes of olympus book 5 pdf full Small gaps between primes Andreea Mocanu March 15, 2015 Abstract In this paper we study the work of James Maynard [10], in which he proves that lim inf. Difference between 4g and 5g pdf

## Bounded Gaps Between Primes Pdf

### A001223 Differences between consecutive primes - OEIS

- A SHORT NOTE ON GAPS BETWEEN POWERS OF CONSECUTIVE PRIMES
- Problems from the ARCC Workshop “Gaps Between Primes”
- Online reading seminar for Zhang’s “bounded gaps between
- INTRODUCTION TO SIEVE THEORY AND BOUNDED GAPS BETWEEN PRIMES

## Bounded Gaps Between Primes Pdf

### Thus, finding bounded gaps between primes in Chebotarev sets determined by abelian extensions is equivalent to finding bounded gaps between primesinarithmeticprogressions,whichisprovenin[6]usingacombinatorialargument.

- Small gaps between primes Andreea Mocanu March 15, 2015 Abstract In this paper we study the work of James Maynard [10], in which he proves that lim inf
- Feature The Bounded Gaps between Primes Polymath Project Discussion The ICM 2014 in Seoul At Last a Fields Medal for a Woman Interviews Martin Hairer
- 4/06/2013 In a recent paper, Yitang Zhang has proven the following theorem: Theorem 1 (Bounded gaps between primes) There exists a natural number such that there are infinitely many pairs of distinct primes with . Zhangs argument naturally divides into three steps, which we describe in
- BOUNDED GAPS BETWEEN PRODUCTS OF PRIMES WITH APPLICATIONS TO IDEAL CLASS GROUPS AND ELLIPTIC CURVES FRANK THORNE Abstract. In the recent papers [12, 13], Goldston, Graham, Pintz, and ld r mY use a arviant

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