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A051021
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Decimal expansion of Mills's constant, assuming Riemann Hypothesis is true.
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8
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1, 3, 0, 6, 3, 7, 7, 8, 8, 3, 8, 6, 3, 0, 8, 0, 6, 9, 0, 4, 6, 8, 6, 1, 4, 4, 9, 2, 6, 0, 2, 6, 0, 5, 7, 1, 2, 9, 1, 6, 7, 8, 4, 5, 8, 5, 1, 5, 6, 7, 1, 3, 6, 4, 4, 3, 6, 8, 0, 5, 3, 7, 5, 9, 9, 6, 6, 4, 3, 4, 0, 5, 3, 7, 6, 6, 8, 2, 6, 5, 9, 8, 8, 2, 1, 5, 0, 1, 4, 0, 3, 7, 0, 1, 1, 9, 7, 3, 9, 5, 7, 0, 7, 2, 9
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OFFSET
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1,2
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REFERENCES
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T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, page 8.
Chris K. Caldwell and Yuanyou Cheng, Determining Mills' Constant and a Note on Honaker's Problem, Journal of Integer Sequences, Vol. 8 (2005), Article 05.4.1.
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LINKS
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Tin Apato and Robert G. Wilson v, Table of n, a(n) for n = 1..10000 (first 641 terms from Tin Apato)
C. K. Caldwell, Mills's Constant [Gives 6000 terms assuming the Riemann Hypothesis.]
C. Caldwell and Yuanyou Chen, Determining Mills' Constant and a Note on Honaker's Problem, Journal of Integer Sequences, Vol. 8 (2005), Article 05.4.1.
Robert P. Munafo, Notable Properties of Specific Numbers. - Robert G. Wilson v, Sep 10 2008
Eric Weisstein's World of Mathematics, Mill's constant
Eric Weisstein's World of Mathematics, Prime formulas
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EXAMPLE
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1.3063778838630806904686144926026057129167845851567136443680537599664340537668...
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MATHEMATICA
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RealDigits[ Nest[ NextPrime[#^3] &, 2, 7]^(1/3^8), 10, 111][[1]] (* Robert G. Wilson v, Nov 14 2012 *)
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CROSSREFS
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Cf. A051254.
Sequence in context: A162197 A160770 A212225 * A215664 A088162 A133170
Adjacent sequences: A051018 A051019 A051020 * A051022 A051023 A051024
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KEYWORD
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nonn,cons
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AUTHOR
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Eric W. Weisstein
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EXTENSIONS
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More terms from Robert G. Wilson v, Sep 08 2000
More terms from Tin Apato (tinapto(AT)yahoo.es), Dec 12 2007
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STATUS
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approved
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