MathDB
Problem 5

Source: 239-School Open Olympiad (Senior Level)

April 25, 2022
number theoryprimes

Problem Statement

Prove that there are infinitely many positive integers kk such that k(k+1)(k+2)(k+3)k(k+1)(k+2)(k+3) has no prime divisor of the form 8t+5.8t+5.
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