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A053584
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a(n+1) is the smallest prime ending with a(n), where a(1)=7.
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2
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7, 17, 317, 6317, 26317, 126317, 2126317, 72126317, 372126317, 5372126317, 125372126317, 15125372126317, 415125372126317, 23415125372126317, 2223415125372126317, 152223415125372126317, 21152223415125372126317
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