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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{CMP2003, author={R. E. Crandall and E. W. Mayer and J. S. Papadopoulos}, title={The twentyfourth {Fermat} number is composite}, abstract={We have shown by machine proof that $F_{24} = 2^{2^{24}} + 1$ is composite. The rigorous P{\'e}pin primality test was performed using independently developed programs running simultaneously on two different, physically separated processors. Each program employed a floatingpoint, FFTbased discrete weighted transform (DWT) to effect multiplication modulo $F_{24}$. The final, respective P{\'e}pin residues obtained by these two machines were in complete agreement. Using intermediate residues stored periodically during one of the floatingpoint runs, a separate algorithm for pureinteger negacyclic convolution verified the result in a ``wavefront'' paradigm, by running simultaneously on numerous additional machines, to effect piecewise verification of a saturating set of deterministic links for the P{\'e}pin chain. We deposited a final P{\'e}pin residue for possible use by future investigators in the event that a proper factor of $F_{24}$ should be discovered; herein we report the more compact, traditional SelfridgeHurwitz residues. For the sake of completeness, we also generated a P{\'e}pin residue for $F_{23}$, and via the Suyama test determined that the known cofactor of this number is composite.}, journal= MC, volume={72}, year={2003}, pages={15551572} } 
Another prime page by Chris K. Caldwell 