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Miklós Schweitzer
2018 Miklós Schweitzer
6
6
Part of
2018 Miklós Schweitzer
Problems
(1)
Modulo 13
Source: Miklós Schweitzer 2018 P6
11/10/2018
Prove that if
a
a
a
is an integer and
d
d
d
is a positive divisor of the number
a
4
+
a
3
+
2
a
2
−
4
a
+
3
a^4+a^3+2a^2-4a+3
a
4
+
a
3
+
2
a
2
−
4
a
+
3
, then
d
d
d
is a fourth power modulo
13
13
13
.
abstract algebra
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