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Some Notes on the Distribution of Mersenne Primes 被引量:2
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作者 sibao zhang Xiaocheng Ma Lihang Zhou 《Applied Mathematics》 2010年第4期312-315,共4页
Mersenne primes are a special kind of primes, which are always an important content in number theory. The study of Mersenne primes becomes one of hot topics of the nowadays science. It has not settled that whether the... Mersenne primes are a special kind of primes, which are always an important content in number theory. The study of Mersenne primes becomes one of hot topics of the nowadays science. It has not settled that whether there exist infinite Mersenne primes. And several of conjectures on the distribution of it provided by scholars. Starting from the Mersenne primes known about, in this paper we study the distribution of Mersenne primes and argued against some suppositions by data analyzing. 展开更多
关键词 Mersenne PRIMES DISTRIBUTION ZHOU CONJECTURE NUMBER Theory
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The Numbers of Thousand Place of Mersenne Primes 被引量:1
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作者 sibao zhang Lihang Zhou 《Applied Mathematics》 2011年第11期1359-1363,共5页
Mersenne primes are a special kind of primes, which are an important content in number theory. The study of Mersenne primes becomes one of hot topics of the nowadays science. Searching for Mersenne primes is very chal... Mersenne primes are a special kind of primes, which are an important content in number theory. The study of Mersenne primes becomes one of hot topics of the nowadays science. Searching for Mersenne primes is very challenging in scientific researches. In this paper, the numbers of thousand place of Mersenne primes are studied, and the conclusion is presented by using the Chinese remainder theorem. 展开更多
关键词 Mersenne PRIMES The Chinese REMAINDER THEOREM The NUMBER of Thousand PLACE
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