Before Andrew Wiles's 1997 proof of Fermat's Last Theorem, in 1985, Étienne Fouvry proved that the first case of the equation holds for infinitely many primes $p$. Is there any infinite class of primes for which FLT could be known to hold, first case or otherwise, before Wiles's proof?

Before Andrew Wiles's 1997 proof of Fermat's Last Theorem, in 1985, Étienne Fouvry et al. proved that the first case of FLT holds for infinitely many primes $p$. 

Is there any infinite class of primes for which FLT could be known to hold fully (not just the first case) before Wiles's proof?

Before Andrew Wiles's 1997 proof of FLT, in 1985, Étienne Fouvry proved that the first case of the equation holds for infinitely many primes $p$. Is there any infinite class of primes for which FLT could be known to hold, first case or otherwise, before Wiles's proof?

Before Andrew Wiles's 1997 proof of Fermat's Last Theorem, in 1985, Étienne Fouvry proved that the first case of the equation holds for infinitely many primes $p$. Is there any infinite class of primes for which FLT could be known to hold, first case or otherwise, before Wiles's proof?