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This is the Prime Pages' interface to our BibTeX database.  Rather than being an exhaustive database, it just lists the references we cite on these pages.  Please let me know of any errors you notice.
References: [ Home | Author index | Key index | Search ]

Item(s) in original BibTeX format

@article{CC2005,
	author={C. Caldwell and Y. Cheng},
	title={Determining {M}ills' constant and a note on {H}onaker's problem},
   JOURNAL = {J. Integer Seq.},
  FJOURNAL = {Journal of Integer Sequences},
	volume= 8,
	year= 2005,
    NUMBER = {4},
     PAGES = {Article 05.4.1, 9 pp. (electronic)},
      ISSN = {1530-7638},
   MRCLASS = {11Nxx},
  MRNUMBER = {MR2165330},
	abstract={In 1947 Mills proved that there exists a constant $A$ such that
$\lfloor A^{3^n} \rfloor$ is a prime for every positive integer $n$.
Determining $A$ requires determining an effective Hoheisel type
result on the primes in short intervals---though most books ignore
this difficulty. Under the Riemann Hypothesis, we show that there
exists at least one prime between every pair of consecutive cubes
and determine (given RH) that the least possible value of Mills'
constant $A$ does begin with $1.3063778838$.  We calculate this
value to $6850$ decimal places by determining the associated primes
to over $6000$ digits and probable primes (PRPs) to over $60000$
digits. We also apply the Cram{\'e}r-Granville Conjecture to Honaker's
problem in a related context.},
	note={Available from \url{http://www.cs.uwaterloo.ca/journals/JIS/}}
}

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