### 1985 Publications

#### Refining the conditions on the Fermat quotient Mathematical Proceedings of the Cambridge Philosophical Society, 98 (1985), 5-8

We showed that if $$q^{p-1}\equiv 1 \pmod {p^2}$$ for all sufficiently large primes $$p$$, then $$q^{p-1}\equiv 1 \pmod {p^3}$$ for infinitely many primes $$p$$.

Article

#### The set of exponents, for which Fermat's Last Theorem is true, has density one Comptes Rendus de l'Académie des Sciences du Canada, 7 (1985), 55-60

We proved the result in the title as a consequence of Faltings' Theorem. This was proved, more-or-less simultaneously, by Heath-Brown

Article