2024 USAJMO Problems/Problem 3
Problem
Let be the sequence defined by
and
for each integer
. Suppose that
is prime and
is a positive integer. Prove that some term of the sequence
is divisible by
.
Let be the sequence defined by
and
for each integer
. Suppose that
is prime and
is a positive integer. Prove that some term of the sequence
is divisible by
.
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