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JBMO TST - Moldova
2023 Junior Balkan Team Selection Tests - Moldova
3
A=2024^{n+1}-2023n-2024
A=2024^{n+1}-2023n-2024
Source: Moldova JTST 2023
May 5, 2023
number theory
Problem Statement
Prove that the number
A
=
202
4
n
+
1
−
2023
n
−
2024
A=2024^{n+1}-2023n-2024
A
=
202
4
n
+
1
−
2023
n
−
2024
has at least
15
15
15
different positive divisors for every nonnegative integer
n
n
n
.
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