New bound for the first case of Fermat’s last theorem

@article{Tanner1989NewBF,
  title={New bound for the first case of Fermat’s last theorem},
  author={J. Tanner and S. Wagstaff},
  journal={Mathematics of Computation},
  year={1989},
  volume={53},
  pages={743-750}
}
  • J. Tanner, S. Wagstaff
  • Published 1989
  • Mathematics
  • Mathematics of Computation
  • We present an improvement to Gunderson's function, which gives a lower bound for the exponent in a possible counterexample to the first case of Fermat's "Last Theorem," assuming that the generalized Wieferich criterion is valid for the first n prime bases. The new function increases beyond n = 29, unlike Gunderson's, and it increases more swiftly. Using the recent extension of the Wieferich criterion to n = 24 by Granville and Monagan, the first case of Fermat's "Last Theorem" is proved for all… CONTINUE READING
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