On maximal gaps between successive primes

On maximal gaps between successive primes
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关于连续素数之间的最大间隙

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发表时间:
1964
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通讯作者:
D. Shanks
D. Shanks
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作者:
D. Shanks

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存在,也许可以确定它的值,但可能无法通过 n 和 t 的简单函数来表达 ft(n)(即使 t = 3)。如果 t 比 n 大,我们在证明定理时使用的方法将不再给出良好的估计,但通过不同的方法证明以下结果并不困难。让 1 ? a, 0 存在 no (a),因此如果 n > no (a) 且
exists and perhaps it might be possible to determine its value, but it will probably not be possible to express ft(n) by a simple function of n and t (even for t = 3). If t is large compared to n our method used in the proof of our theorem no longer gives a good estimation, but it is not difficult to prove by a different method the following result. Let 1 ? a, 0 there is an no (a) so that if n > no (a) and