Polignac's conjecture

來源: yma16 2013-05-26 09:58:42 [] [博客] [舊帖] [給我悄悄話] 本文已被閱讀: 次 (1365 bytes)

In number theory, Polignac's conjecture was made by Alphonse de Polignac in 1849 and states:

For any positive even number n, there are infinitely many prime gaps of size n. In other words: There are infinitely many cases of two consecutive prime numbers with difference n.[1]

The conjecture has not yet been proven or disproven for a given value of n. In 2013 an important breakthrough was made by Zhang Yitang who proved that there are infinitely many prime gaps of size n for some value of n < 70,000,000.

所有跟帖: 

n=2,就是孿素數猜想,張之後,我想會有比70000000更小的數被證明.但n=2,maybe impossible. -jinjing- 給 jinjing 發送悄悄話 (0 bytes) () 05/26/2013 postreply 16:37:33

they say at most the method can be improved from 70 million to 1 -yma16- 給 yma16 發送悄悄話 yma16 的博客首頁 (58 bytes) () 05/26/2013 postreply 17:41:20

比70000000更小的數 -yma16- 給 yma16 發送悄悄話 yma16 的博客首頁 (295 bytes) () 06/06/2013 postreply 16:53:07

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