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Carmichael Numbers of Order 3 被引量:3

Carmichael Numbers of Order 3
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作者 朱文余 孙琦
出处 《数学进展》 CSCD 北大核心 2004年第4期505-507,共3页 Advances in Mathematics(China)
基金 Supported by NSFC(No.10128103)
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参考文献8

  • 1Maniadra Agrawal, Kayal N, Saxena N. Primes is in P [R]. Preprint 2002 August. Available at http:∥www.cse.iitk.ac.in/users/manindra/primality. ps.
  • 2Kayal N, Saxena N. Towards a deterministic polynomial-time test [R]. Technical report I IT Kanpur, 2002.Available at http:∥www.cse.iitk.ac.in/research/btp2002/primality. html.
  • 3Rajat Bhattacharjee and Prashant Pandey, Primality testing [R]. B. Technical report LIT Kanpur, 2001.Available at http:∥www.cse.iitk.ac.in/research/btp2001/primality. html.
  • 4Zhu Wenyu, SunQi, Zhou Xianhua, Generalized Carmichael numbers[J], submitted.
  • 5Kenneth Ireland, Michael Rosen. A Classical Introduction to Modern Number Theory [M]. Graduate Texts in Mathematics, Springer-Verlag, New York, 1990.
  • 6Jack chernick. On fermat's simple theorem [J]. Bull. Amer. Math. Soc., 1939, 45: 269-274.
  • 7Zhu Wenyu. Numbers which are Carmichael numbers and strong pseudoprimes to some based [J]. Journal of Sichuan University (Natural Science edition) (In Chinese), 1997,34(3):269-275.
  • 8Alford W R. Andrew Granville and Carl Pomerance, There are infinitely many Carmichael numbers [J].Ann. of Math., 1994, 139(2): 703-722.

同被引文献7

  • 1张振祥.多重精度算术软件包的设计与实现[J].计算机研究与发展,1996,33(7):513-516. 被引量:10
  • 2Carmichael R D.On composite numbers p which satisfy the Fermat congruence ap-1≡1(mod p)[J].Amer Math Monthly,1912,19:22-27.
  • 3华罗庚.数论导引[M].北京:科学出版社,1979..
  • 4Zhu Wen-yu, Sun Qi, Carmichael numbers of order 3[J]. J. Sichuan University (Nat. Sci. Ed. ), 2005, 42(1) :47.
  • 5Ireland K, Rosen M, A classical introduction to modern number theory[M]. 2nd eel. New York:Springer-Verlag, 1990.
  • 6Cohen H. A Course in Computational Algebraic Number Theory (GTM 138)[M]. Berlin:Springer-Verlag, 1996.
  • 7Zhang Zhen-xiang, Using Lucas sequences to factor large integers near group orders[ J ]. Fibonacci Quarterly, 2001, 39 (3) :228.

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