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In 1850, the Soviet Union mathematician Chebyshev proved for positive integer x (x > 3) there are a prime in x ~ 2x - 2 at least. This is Chebyshev theorem. Obviously Chebyshevs result is stranger than Bertrands conjecture, so Bertrands conjecture be solved by Chebyshev. This is Bertrand-...
刚才做题没看出来,ds上搜索的,当笔记了 | 伯兰特-切比雪夫定理(Bertrand-Chebyshev Theorem)是数论中的一个重要定理,由法国数学家约瑟夫·伯兰特(Joseph Bertrand)提出,并由俄罗斯数学家帕夫努季·切比雪夫(Pafnuty Chebyshev)证明。该定理的内容如下: **定理陈述**: ...
In this paper, Chebyshev's theorem (1850) about Bertrand's conjecture is re-extended using a theorem about Sierpinski's conjecture (1958). The theorem had been extended before several times, but this extension is a major extension far beyond the previous ones. At the beginning of the proof,...