We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
不定方程 x (x+1) (x+2) (x+3) = 42y (y+1) (y+2) (y+3) 的正整数解.
- Authors
李江龙; 罗明; 林丽娟
- Abstract
As M, N are both given positive integer, to solve the resolution problem about the Diophantine equation Mx (x+1) (x+2) (x+3) = Ny (y+1) (y+2) (y+3). Based on the basic solution of Pell equation, recursive sequence, congruence theory and other elementary methods, it is proved that when (M,N) = (1,42) the Diophantine equation has only one positive integer solution, that is (x,y) =(7,2). Further improving that N≤50 has positive integer solution when M=1.
- Subjects
DIOPHANTINE equations; INTEGERS; EQUATIONS; PROBLEM solving; RECURSIVE sequences (Mathematics)
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2019, Vol 32, Issue 3, p293
- ISSN
1006-8341
- Publication type
Article
- DOI
10.13338/j.issn.1006-8341.2019.03.011