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3

Part of 1997 Rioplatense Mathematical Olympiad, Level 3

Problems(1)

no of positive divisors in 2^n-1 is greater than n

Source: VI - Rioplatense 1997 L3 P3

9/19/2022
Prove that there are infinitely many positive integers nn such that the number of positive divisors in 2nāˆ’12^n-1 is greater than nn.
number theoryDivisors