On Diophantine Equation X(X+1)(X+2)(X+3) = 15Y(Y+1)(Y+2)(Y+3)s

摘要

Several scholars [1, 2, 3, 4, 5, 6, 7] have studied the Diophantine equation X(X+1)(X+2)(X+3)=DY(Y+1)(Y+2)(Y+3)(1) Where D is a positive integer solutions of Eq.(l) have been obtained by Cohn[l], Ponnudu-ral [2], Xuan [3], Luo[ 4, 5], and Duan [6, 7]. However, for the case D=15, Eq.(1) still remains open.