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N_2[1~2,2~2,3~2,…]中不同元素之间的线性关系

THE LINEAR RELATIONSHIP OF DIFFERENT ELEMENTS IN N_2
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摘要 The linear relationship of different elements in N2 is studied. A conjecture is put forward as follows. For any α∈N2 satisfying α>3002, there exists a linear relationship which includes 3 or 4 elements and takes α as the maximal element. The linear relationship of different elements in N_2 is studied. A conjecture is put forward as follows. For any α∈N_2 satisfying α>300~2, there exists a linear relationship which includes 3 or 4 elements and takes α as the maximal element.
作者 叶彦谦
机构地区 南京大学数学系
出处 《华南师范大学学报(自然科学版)》 CAS 2004年第2期141-142,共2页 Journal of South China Normal University(Natural Science Edition)
关键词 N2[1^2 2^2 3^2 …] 线性关系 质数 数论 N_2 element linear relationship
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  • 1[1]Dickson L E. History of the theory of numbers[M]. New York: Chelsea Pub Company, 1952.
  • 2[2]Nathanson M B. Elementary methods in number theory[M]. New York: Springer, 2000.
  • 3[3]Ye Weiyin, Ye Yanqian. A new kind of prime and composite numbers(to appear).

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