On prime values of reducible quadratic polynomials

• Autorzy: W. Narkiewicz , T. Pezda
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11N32: Primes represented by polynomials; other multiplicative structure of polynomial values
• 11A41: Primes

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 93
• Numer: 1
• Strony: 151-154

Daty

wydano

2002

Twórcy

autor

W. Narkiewicz

• Institute of Mathematics, Wrocław University, Plac Grunwaldzki 2/4, 50-384 Wrocław, Poland

autor

T. Pezda

• Institute of Mathematics, Wrocław University, Plac Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/cm93-1-10