Wieferich's Criterion/Historical Note

Historical Note on Wieferich's Criterion

Arthur Wieferich discovered what is now known as Wieferich's Criterion in $1909$.

It had profound implications for Fermat's Last Theorem, in that it demonstrated that the only cases that needed to be considered were those for the Wieferich primes, of which only $2$ are known less than $10^{17}$.


Sources

  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $1093$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $1093$