%0 Journal Article
%T On the Diophantine Equation x3+ 27 = 139y2
%A XIONG Chuan
%A LUO Ming
%J Journal of Chongqing Normal University
%D 2012
%I Chongqing Normal University
%X By using the elementary method of recurrent sequence, congruent formula and quadratic residue, the authors prove that the diophantine equation x3+27 = 139y2 has only the integer solutions (x,y)= (-3,0),(13, 4). In the process of proving the conclusion,the authors also prove that the diophantine equation x3+1 = 417y2 has only the integer solution (x,y)= (-1,0), and then give all integer solutions of x3+27 = 139y2.
%K diophantine equation
%K integer solution
%K recurrent sequence
%U http://journal.cqnu.edu.cn/1202/pdf/120209.pdf