MathDB
Problems
Contests
National and Regional Contests
Latvia Contests
Latvia BW TST
2016 Latvia Baltic Way TST
20
20
Part of
2016 Latvia Baltic Way TST
Problems
(1)
p^m=(a^6 + 21a^4b^2 + 35a^2b^4 + 7b^6) (b^6 + 21b^4a^2 + 35b^2a^4 + 7a^6)
Source: 2016 Latvia BW TST P20
12/17/2022
For what pairs of natural numbers
(
a
,
b
)
(a, b)
(
a
,
b
)
is the expression
(
a
6
+
21
a
4
b
2
+
35
a
2
b
4
+
7
b
6
)
(
b
6
+
21
b
4
a
2
+
35
b
2
a
4
+
7
a
6
)
(a^6 + 21a^4b^2 + 35a^2b^4 + 7b^6) (b^6 + 21b^4a^2 + 35b^2a^4 + 7a^6)
(
a
6
+
21
a
4
b
2
+
35
a
2
b
4
+
7
b
6
)
(
b
6
+
21
b
4
a
2
+
35
b
2
a
4
+
7
a
6
)
the power of a prime number?
power of prime
Perfect Powers
Perfect power
number theory