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

Source: 2022 Turkey JBMO TST P8

March 15, 2022
number theoryprime numbersnumber of divisors

Problem Statement

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.
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