3 changed $>$ to $\approx$
Fouvry showed that the relative density is positive of primes $p$ for which the largest prime factor of $p+a$ is $\ge p^{\alpha}$ for $\alpha > \approx .6687$.
Etienne Fouvry, Th ́eoreme de Brun-Titchmarsh; application au th ́eoreme de Fermat, Invent. Math 79 (1985), 383–407. MR0778134 (86g:11052)
Fouvry showed that the relative density is positive of primes $p$ for which the largest prime factor of $p+a$ is $\ge p^{\alpha}$ for $\alpha > .6687$6687$. Etienne Fouvry, Th ́eoreme de Brun-Titchmarsh; application au th ́eoreme de Fermat, Invent. Math 79 (1985), 383–407. MR0778134 (86g:11052) 1 Fouvry showed that the relative density of primes$p$for which the largest prime factor of$p+a$is$\ge p^{\alpha}$for$\alpha > .6687\$