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China Northern MO
2019 China Northern MO
1
2019 CNMO P1
2019 CNMO P1
Source: 2019 China North MO, Problem 1
February 21, 2020
number theory
Problem Statement
Find all positive intengers
x
,
y
x,y
x
,
y
, satisfying:
3
x
+
x
4
=
y
!
+
2019.
3^x+x^4=y!+2019.
3
x
+
x
4
=
y
!
+
2019.
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