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A114789
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a(1) = 1, a(2) = 3 and thereafter a(n) is the smallest number congruent to 1 mod a(n-1) and having the prime signature of n.
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2
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1, 3, 7, 169, 677, 1355, 2711, 4304496906163, 1852869361516769972676380161, 66703297014603719016349685797, 400219782087622314098098114783, 31217143002834540499651652953075, 307176687147891878516572265058259
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