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China Team Selection Test 2014 TST 3 Day 1 Q3

Source: China Nanjing , 23 Mar 2014

March 23, 2014
number theory proposednumber theoryDiophantine equationChina TST

Problem Statement

Show that there are no 2-tuples (x,y) (x,y) of positive integers satisfying the equation (x+1)(x+2)(x+2014)=(y+1)(y+2)(y+4028). (x+1) (x+2)\cdots (x+2014)= (y+1) (y+2)\cdots (y+4028).