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这个是Bertrand Conjecture，后来被Chebyshev证明了
我不会证，但是书上有证明这2个可以用到的定理
1.Let n be a positive integer greater than 1 and let p1,p2,...,pt be the primes not exceeding n.Show that p1p2...pn<4^n
2.Let n be a positive integer greater than 3 and let p be a prime such that 2n/3<p<=n
Show that p does not divde the binomial coefficient C2n n |
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狗仔卡
发表于 2009-2-5 23:04:02
