The twenty-fourth Fermat number is composite

Abstract

We have shown by machine proof that F24 = 22 24+1 is composite. The rigorous Pépin primality test was performed using independently developed programs running simultaneously on two different, physically separated processors. Each program employed a floating-point, FFT-based discrete weighted transform (DWT) to effect multiplication modulo F24. The final… (More)
DOI: 10.1090/S0025-5718-02-01479-5

Topics

Cite this paper

@article{Crandall2003TheTF, title={The twenty-fourth Fermat number is composite}, author={Richard E. Crandall and Ernst W. Mayer and Jason S. Papadopoulos}, journal={Math. Comput.}, year={2003}, volume={72}, pages={1555-1572} }