两组整数的乘积相等,每组有三个且和为2021

hbghlyj · 2021-11-27 05:59

Last edited by hbghlyj 2021-11-27 20:19Find a,b,c,d,e,f, distinct integers, such that a+b+c = d+e+f = 2021, and abc = def.

Problem by Prof. Ben Green

比如
a = -b = 483, c = 2021, d = 22747, e = 1, f = -20727

hbghlyj · 2021-11-28 04:13

比如
a=1692,b=188,c=141,d=846,e=1128,f=47

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[数论] 两组整数的乘积相等,每组有三个且和为2021