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erdos_141.variant.infinite_three

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It is open, even for $k=3$, whether there are infinitely many such progressions.

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Lean 4 Statement 
theorem erdos_141.variant.infinite_three : answer(sorry) ↔
    (consecutivePrimeArithmeticProgressions 3).Infinite
ID: ErdosProblems__141__erdos_141.variant.infinite_three
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