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A113053
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Beginning with 7, primes of the form: least multiple of the previous term followed by a 1. Beginning with 7, a(n) is the least prime of the form k*a(n-1)*10 +1.
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7, 71, 2131, 191791, 5753731, 575373101, 17261193031, 517835790931, 82853726548961, 28998804292136351, 16239330403596356561, 4384619208971016271471, 526154305076521952576521
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