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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{DG2000, author={H. Dubner and Y. Gallot}, title={Distribution of generalized {Fermat} prime numbers}, abstract={Numbers of the form $F_{b,n}=b^{2^n}+1$ are called Generalized Fermat Numbers (GFN). A computational method for testing the probable primality of a GFN is described which is as fast as testing a number of the form $2^m-1$. The theoretical distributions of GFN primes, for fixed $n$, are derived and compared to the actual distributions. The predictions are surprisingly accurate and can be used to support Bateman and Horn's quantitative form of ``Hypothesis H'' of Schinzel and Sierpi{\'n}ski. A list of the current largest known GFN primes is included.}, journal= mc, volume={71}, year= 2002, pages={825--832}, mrnumber={2002j:11156} } |
Another prime page by Reginald McLean |