Feit-Thompson Conjecture
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Conjecture
There exist no distinct prime numbers $p$ and $q$ such that:
- $\dfrac {p^q - 1} {p - 1}$ divides $\dfrac {q^p - 1} {q - 1}$
Stronger Feit-Thompson Conjecture
There exist no distinct prime numbers $p$ and $q$ such that:
- $\dfrac {p^q - 1} {p - 1}$ and $\dfrac {q^p - 1} {q - 1}$ are not coprime.
Source of Name
This entry was named for Walter Feit and John Griggs Thompson.