MathDB

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Part of 2023 Dutch IMO TST

Problems(1)

3^p+4^p+5^p+9^p-98 has at most 6 positive divisors

Source: 2022 Turkey JBMO TST P8

3/15/2022
Find all prime numbers pp such that the number 3p+4p+5p+9pāˆ’983^p+4^p+5^p+9^p-98 has at most 66 positive divisors.
number theoryprime numbersnumber of divisors