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2019 JBMO Shortlist
N6
N6
Part of
2019 JBMO Shortlist
Problems
(1)
Problem 5
Source: Azerbaijan third round 2020(JBMO Shortlist 2019 N6)
6/6/2020
a
,
b
,
c
a,b,c
a
,
b
,
c
are non-negative integers. Solve:
a
!
+
5
b
=
7
c
a!+5^b=7^c
a
!
+
5
b
=
7
c
Proposed by Serbia
Diophantine equation
number theory