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A243370
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Decimal expansion of the number A = 1.8252076... which generates the densest possibly infinite sequence of primes a(n) = floor[A^(C^n)] for A < 2. That prime sequence is A243358.
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3
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1, 8, 2, 5, 2, 0, 7, 6, 3, 4, 7, 6, 9, 3, 3, 5, 0, 6, 8, 0, 5, 1, 8, 3, 4, 1, 5, 5, 7, 8, 3, 3, 4, 2, 4, 8, 6, 2, 2, 8, 9, 5, 8, 9, 7, 7, 4, 9, 7, 8, 6, 2, 8, 5, 6, 9, 6, 5, 4, 5, 0, 0, 8, 0, 5, 0, 0, 5, 0, 9, 8, 2, 2, 4, 9, 2, 8, 1, 2, 5, 3, 5, 7, 5, 9, 9, 0
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OFFSET
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1,2
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COMMENTS
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It is very likely, but not yet proved, that the sequence of primes A243358 is actually infinite. But it's clear that if such an infinite sequence exists, then its density parameter C should be larger than C_0 = 1.2209864... (see A117739).
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LINKS
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FORMULA
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A = 84^(1/C_0^10), where C_0 (mentioned above) is given in A117739.
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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