On prime values of reducible quadratic polynomials

W. Narkiewicz; T. Pezda

Colloquium Mathematicae (2002)

  • Volume: 93, Issue: 1, page 151-154
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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W. Narkiewicz, and T. Pezda. "On prime values of reducible quadratic polynomials." Colloquium Mathematicae 93.1 (2002): 151-154. <http://eudml.org/doc/284699>.

@article{W2002,
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.},
author = {W. Narkiewicz, T. Pezda},
journal = {Colloquium Mathematicae},
language = {eng},
number = {1},
pages = {151-154},
title = {On prime values of reducible quadratic polynomials},
url = {http://eudml.org/doc/284699},
volume = {93},
year = {2002},
}

TY - JOUR
AU - W. Narkiewicz
AU - T. Pezda
TI - On prime values of reducible quadratic polynomials
JO - Colloquium Mathematicae
PY - 2002
VL - 93
IS - 1
SP - 151
EP - 154
AB - 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.
LA - eng
UR - http://eudml.org/doc/284699
ER -

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