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HMMT 2002 U62

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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 1,000,0001,000,000 ? Be prepared to justify your answer.

Dataset text NuminaMath olympiads. Quoted with source.

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