Departmental Bulletin Paper On Some Diophantine Equations (II)

9 ( 1 )  , pp.83 - 90 , 2018-01独立行政法人国立高等専門学校機構 熊本高等専門学校
ISSN:1884-6734
NCID:09-13
Description
In this paper, we treat the equation (p^(x12)-1)/q^(y1)=(q^(y12)-1)/p^(x1)=k, where k is a fixed integer. Especially, we study the cases of k satisfied with 1<=k<=5 or prime k>=7. The equation (p^(x12)-1)/q^(y1)=(q^(y12)-1)/p^(x1)=k has solutions in the cases of k=1, 3, 5.
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