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a(1) = 97 ( the smallest prime beginning with 9) and then the smallest prime with leading digits containing a(n-1).
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97, 971, 9719, 971903, 9719033, 971903321, 97190332117, 971903321177, 97190332117709, 971903321177093, 97190332117709317, 971903321177093171, 97190332117709317147, 9719033211770931714763, 971903321177093171476321, 97190332117709317147632157
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