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Omni-MATH / Does there exist 2002 distinct positive integers k₁,k₂,⋯k₂₀₀₂ such that for any positive integer n≥2001, one of k_12^n plus{} 1, k_22^n plus{} 1, cdots, k_{2002}2^n plus{} 1 is pr…
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problem
Does there exist distinct positive integers such that for any positive integer , one of
$ k_12^n \plus{} 1, k_22^n \plus{} 1, \cdots, k_{2002}2^n \plus{} 1$ is prime?Plain-text mathematical notation (without MathML)
Does there exist 2002 distinct positive integers k₁,k₂,⋯k₂₀₀₂ such that for any positive integer n≥2001, one of $ k_12^n \plus{} 1, k_22^n \plus{} 1, \cdots, k_{2002}2^n \plus{} 1$ is prime?Original LaTeX notation
Does there exist $ 2002$ distinct positive integers $ k_1, k_2, \cdots k_{2002}$ such that for any positive integer $ n \geq 2001$, one of $ k_12^n \plus{} 1, k_22^n \plus{} 1, \cdots, k_{2002}2^n \plus{} 1$ is prime?Discussion
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