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标题: [原创] 张益唐师兄证明了啥? [打印本页]

作者: not4weak    时间: 2015-5-7 20:14     标题: 张益唐师兄证明了啥?

本帖最后由 not4weak 于 2015-5-7 20:21 编辑

这个是他的论文的摘要:
Bounded gaps between primes       
Pages 1121-1174 from Volume 179 (2014), Issue 3 by Yitang Zhang       
Abstract

It is proved that
lim infn→∞(pn+1−pn)<7×107,
where pn is the n-th prime.
Our method is a refinement of the recent work of Goldston, Pintz and Yıldırım on the small gaps between consecutive primes. A major ingredient of the proof is a stronger version of the Bombieri-Vinogradov theorem that is applicable when the moduli are free from large prime divisors only, but it is adequate for our purpose.

大概的意思是说,当N无穷大的时候,两个相邻素数的距离不会大于7000万,不过最近这个数字被刷到了248. 笔者很好奇,用计算机做了一个测试,结果如下:
Rplot.jpeg

不过在10^8之内的测试,笔者发现可以刷到220.

图片附件: Rplot.jpeg (2015-5-7 20:17, 46.93 KB) / 下载次数 44
http://yayabay.com/forum/attachment.php?aid=781222&k=c99fe12478feac384209bb0a7973ece8&t=1733016725&sid=lBv58C


作者: wsjboy    时间: 2015-5-7 20:59

May I ask a stupid question? What does 刷到XXX mean?
Huge thanks!
作者: angela_c    时间: 2015-5-7 21:08

牛人
更难得的是坚持几十年
一个默默无名的讲师
作者: angela_c    时间: 2015-5-7 21:15

回复 2# wsjboy


    2个素数间的距离?
作者: not4weak    时间: 2015-5-7 21:17

回复 2# wsjboy
刷下限活动,
作者: wsjboy    时间: 2015-5-7 21:21

回复  wsjboy
刷下限活动,
not4weak 发表于 2015-5-7 21:17


Thanks!




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