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number of divisiors with divisibility

Source: Turkey JBMO TST 2023 Day 2 P4

April 30, 2023
number theoryDivisibility

Problem Statement

For a prime number pp. Can the number of n positive integers that make the expression n3+np+1n+p+1\dfrac{n^3+np+1}{n+p+1} an integer be 777777?
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