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2022 Turkey EGMO TST
3
Solve a^7(a-1)=19b(19b+2) over Z
Solve a^7(a-1)=19b(19b+2) over Z
Source: Turkey EGMO TST 2022 P3
March 16, 2022
number theory
Integers
Problem Statement
Find all pairs of integers
(
a
,
b
)
(a,b)
(
a
,
b
)
satisfying the equation
a
7
(
a
ā
1
)
=
19
b
(
19
b
+
2
)
a^7(a-1)=19b(19b+2)
a
7
(
a
ā
1
)
=
19
b
(
19
b
+
2
)
.
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