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MathNet 2002 — Part 02 Question 23

Math Olympiad Vault · MathNet 2002 — Part 02

Question 23

Our next object up for bid is an arithmetic progression of primes. For example, the primes $3$, $5$, and $7$ form an arithmetic progression of length $3$. What is the largest possible length of an arithmetic progression formed of positive primes less than $1,000,000$? Be prepared to justify your answer.