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math.NT2008
Chen's primes and ternary Goldbach problem
Hongze Li, Hao Pan
We prove that there exists a k_0>0 such that every sufficiently large odd integer n with 3\mid n can be represented as p_1+p_2+p_3, where p_1,p_2 are Chen's primes and p_3 is a pri…
math.NT2008
A Schur-type addition theorem for primes
Hongze Li, Hao Pan
Suppose that all primes are colored with k colors. Then there exist monochromatic primes p1, p2, p3 such that p1+p2=p3+1.
math.NT2008
Primes in the form
Hongze Li, Hao Pan
Let βbe a real number. Then for almost all irrational α>0 (in the sense of Lebesgue measure) \limsup_{x\to\infty}π_{α,β}^*(x)(\log x)^2/x>=1, where π_{α,β}^*(x)={p<=x: both p and […