| 关于n~2+C型素数无穷多性的证明 |
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| 引用本文： | 王瑞贞.关于n~2+C型素数无穷多性的证明[J].西北民族学院学报,1992(1). |
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| 作者姓名： | 王瑞贞 |
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| 摘 要： | 本文利用“素数的表示法定理”和同余、二次剩余的性质,证明了 n~2+C 型素数的个数π_1(X_1)与π(X)关系的一个近似公式。
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| 关 键 词： | 素数 无穷多 同余 二次剩余 |
A Proof on the Infinity of Prime Numbers of the Form n~2+c |
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| Wang Ruizhen.A Proof on the Infinity of Prime Numbers of the Form n~2+c[J].Journal of Northwest Minorities University(Natural Science ),1992(1). |
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| Authors: | Wang Ruizhen |
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| Institution: | Wang Ruizhen |
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| Abstract: | Using representations of prime numbers given in(3)and well known properties of linear and quadratic congruences,It is proved there exist infinitely many natural numbers n for any positive integer c such that n~2+c are prime numbers.An approximate formula connecting the famous function π(X) and the number of primes ≤X of the form n~2+C is given,similar results are gotten in tile case n~2+C for each integer C≥1. |
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| Keywords: | Prime Infinitely Congruence Quadratic Residue |
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