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1999 Swedish Mathematical Competition
3
5^a + 6^b + 7^c + 11^d = 1999
5^a + 6^b + 7^c + 11^d = 1999
Source: 1999 Swedish Mathematical Competition p3
April 2, 2021
number theory
Diophantine equation
diophantine
Problem Statement
Find non-negative integers
a
,
b
,
c
,
d
a, b, c, d
a
,
b
,
c
,
d
such that
5
a
+
6
b
+
7
c
+
1
1
d
=
1999
5^a + 6^b + 7^c + 11^d = 1999
5
a
+
6
b
+
7
c
+
1
1
d
=
1999
.
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