http://bbs.tech.sina.com.cn/?h=http%3A//bbs.tech.sina.com.cn/g_forum/00/39/00/view.php%3Ffid%3D59437%26tbid%3D3255&g=8
I modified his statement as
For every integer m>1, there is a integer
series 0<=n1
m-n1, m+n1, n2-m, n2+m, n3-m, n3+m,...
are all primes.
prove that it is a combination of the Goldbach and Polignac's
conjectures.
Polignac's
conjecture:
Every even number is the difference of two consecutive primes in infinitely many ways
A weaker form of Polignac's conjecture: Every even number is the difference of two primes.