MathDB
Problems
Contests
International Contests
JBMO ShortLists
2012 JBMO ShortLists
7
Do not use Zsigmondy!
Do not use Zsigmondy!
Source:
February 4, 2015
modular arithmetic
Problem Statement
Find all
a
,
b
,
c
ā
N
a , b , c \in \mathbb{N}
a
,
b
,
c
ā
N
for which
199
7
a
+
1
5
b
=
201
2
c
1997^a+15^b=2012^c
199
7
a
+
1
5
b
=
201
2
c
Back to Problems
View on AoPS