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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 = {15307638}, 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 intervalsthough 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}rGranville Conjecture to Honaker's problem in a related context.}, note={Available from \url{http://www.cs.uwaterloo.ca/journals/JIS/}} } 
Another prime page by Chris K. Caldwell 