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A079614
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Decimal expansion of Bertrand's constant.
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2
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1, 2, 5, 1, 6, 4, 7, 5, 9, 7, 7, 9, 0, 4, 6, 3, 0, 1, 7, 5, 9, 4, 4, 3, 2, 0, 5, 3, 6, 2, 3, 3, 4, 6, 9, 6, 9
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OFFSET
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1,2
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COMMENTS
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From Bertrand's postulate (i.e., there is always a prime p in the range n < p < 2n) one can show there is a constant b such that floor(2^b), floor(2^2^b), ..., floor(2^2^2...^b), ... are all primes.
This result is due to Wright (1951), so Bertrand's constant might be better called Wright's constant, by analogy with Mills's constant A051021. - Jonathan Sondow, Aug 02 2013
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REFERENCES
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S. Finch, Mathematical Constants, Cambridge Univ. Press, 2003; see section 2.13 Mills's constant.
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LINKS
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FORMULA
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1.251647597790463017594432053623346969...
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EXAMPLE
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2^(2^(2^1.251647597790463017594432053623)) is approximately 37.0000000000944728917062132870071 and A051501(3)=37.
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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More digits (from the Prime Curios page) added by Frank Ellermann, Sep 19 2011
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STATUS
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approved
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