### 1986 Publications

#### Powerful numbers and Fermat's Last Theorem Comptes Rendus de l'Académie des Sciences du Canada,8 (1986), 215-218

We show that if there are no three consecutive powerful numbers then there is an infinite sequence of primes $$p$$ for which $$p^2$$ does not divide $$2^p-2$$, and so the first case of Fermat's Last Theorem is true for exponent $$p$$.

Article

#### On Krasner's criteria for the first case of Fermat's Last Theorem Manuscripta Mathematica, 56 (1986), 67-70

We show that if the first case of Fermat's Last Theorem is false for prime $$p$$ then $$p$$ divides the numerator of $$B_{p-1-n}$$ for all integers $$n\leq (\log p/\log\log p)^{1/2}$$.

Article