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2024 Tuymaada Olympiad
1
divisor of n^4+1
divisor of n^4+1
Source: 2024 Tuymaada Senior P1
July 9, 2024
number theory
NT construction
Tuymaada
Problem Statement
Prove that a positive integer of the form
n
4
+
1
n^4 +1
n
4
+
1
can have more than
1000
1000
1000
divisors of the form
a
4
+
1
a^4 +1
a
4
+
1
with integral
a
a
a
.
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