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Prime factors

Source: Malaysia National Math Olympiad - Sulong Problem 6

October 26, 2019
prime factorizationalgebra

Problem Statement

It is known that 2018(201939+201937+...+2019)+12018(2019^{39}+2019^{37}+...+2019)+1 is prime. How many positive factors does 201941+12019^{41}+1 have?
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