Geodesic
On prime values of reducible quadratic polynomials
W. Narkiewicz1 ; T. Pezda2
1 Institute of Mathematics Wrocław University Plac Grunwaldzki 2/4 50-384 Wrocław, Poland
2 Institute of Mathematics Wrocław University Plac Grunwaldzki 2/4 50-384 Wroc/law, Poland
Colloquium Mathematicum, Tome 93 (2002) no. 1, pp. 151-154.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm93-1-10
Keywords: shown dicksons conjecture about primes linear polynomials implies reducible quadratic polynomial integral coefficients non zero discriminant every there exists integer polynomial represents least distinct primes

W. Narkiewicz 1 ; T. Pezda 2

1 Institute of Mathematics Wrocław University Plac Grunwaldzki 2/4 50-384 Wrocław, Poland
2 Institute of Mathematics Wrocław University Plac Grunwaldzki 2/4 50-384 Wroc/law, Poland 
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W. Narkiewicz; T. Pezda. On prime values of reducible quadratic polynomials. Colloquium Mathematicum, Tome 93 (2002) no. 1, pp. 151-154. doi : 10.4064/cm93-1-10. http://geodesic.mathdoc.fr/articles/10.4064/cm93-1-10/

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