A+ CATEGORY SCIENTIFIC UNIT

On prime values of reducible quadratic polynomials

Volume 93 / 2002

W. Narkiewicz, T. Pezda Colloquium Mathematicum 93 (2002), 151-154 MSC: Primary 11N32; Secondary 11A41. DOI: 10.4064/cm93-1-10

Abstract

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.

Authors

  • W. NarkiewiczInstitute of Mathematics
    Wrocław University
    Plac Grunwaldzki 2/4
    50-384 Wrocław, Poland
    e-mail
  • T. PezdaInstitute of Mathematics
    Wrocław University
    Plac Grunwaldzki 2/4
    50-384 Wroc/law, Poland
    e-mail

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