Web1. Introduction The study of the distribution of the prime numbers among the positive integers occupies a central place in number theory. This distribution may be specified by the differences G_k = p_{k+1} - p_k between successive primes; G_k is also referred to as the (prime) gap following the kth prime p_k, and the unmodified symbol G will be used to refer … Web34 rows · Nicely (1999) has extended the list of maximal prime gaps. The following table gives the values ...
Twin prime - Wikipedia
WebThe First Occurrence of Large Gaps Between Successive Primes By Richard P. Brent Abstract. A table of the first occurrence of a string of 2r — 1 composite numbers between two primes is given for r - 158(1)267, 269, 270, 273, 275, 276, 281, 282, 291, 294 and 301. All such strings between primes less than 2.6 X 1012 have been accounted for. Webgaps and maximal prime gaps. One hundred and twenty-two new first occurrences were found, including four new maximal gaps, leaving 1048 as the smallest gap whose first occurrence remains uncertain. The first occurrence of any prime gap of 1000 or greater was found to be the maximal greenlight lowriders
The sequence of prime gaps is graphic∗ - arXiv
WebSol Weintraub, A large prime gap, Mathematics of Computation Vol. 36, No. 153 (Jan 1981), p. 279. ... The following table, based on a very much larger table in the web page of Tomás Oliveira e Silva (see link) shows, for each gap g, P(g) = the smallest prime such that P(g)+g is the smallest prime number larger than P(g); ... WebA twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair (41, 43). In other words, a twin prime is a prime that has a prime gap of two. Sometimes the term twin prime is used for a pair of twin primes; an alternative name for this is prime twin or prime pair.. Twin primes … WebLARGE PRIME GAPS AND PROGRESSIONS WITH FEW PRIMES KEVIN FORD Abstract. We show that the existence of arithmetic progressions with few primes, with a quantitative bound on \few", implies the existence of larger gaps between primes less than xthan is currently known unconditionally. In particular, we derive this conclusion if there greenlight lyrics jonas brothers