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2021 Latvia TST
1.5
1.5
Part of
2021 Latvia TST
Problems
(1)
Exponential and cubic NT equation
Source: Latvian TST 2021 Day 1 P5
3/12/2021
Find all positive integers
n
,
k
n,k
n
,
k
satisfying:
n
3
ā
5
n
+
10
=
2
k
n^3 -5n+10 =2^k
n
3
ā
5
n
+
10
=
2
k
number theory