On prime values of reducible quadratic polynomials
Tom 93 / 2002
Colloquium Mathematicum 93 (2002), 151-154 MSC: Primary 11N32; Secondary 11A41. DOI: 10.4064/cm93-1-10
It is shown that Dickson's Conjecture about primes in linear polynomials implies that if $f$ is a reducible quadratic polynomial with integral coefficients and non-zero discriminant then for every $r$ there exists an integer $N_r$ such that the polynomial $f(X)/N_r$ represents at least $r$ distinct primes.