Geodesic
Quadratic Non-Residues and Prime-Producing Polynomials
Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 474-478

Voir la notice de l'article provenant de la source Cambridge

DOI

We will be looking at quadratic polynomials having positive discriminant and having a long string of primes as initial values. We find conditions tantamount to this phenomenon involving another long string of primes for which the discriminant of the polynomial is a quadratic non-residue. Using the generalized Riemann hypothesis (GRH) we are able to determine all discriminants satisfying this connection.
DOI : 10.4153/CMB-1989-068-1
Mots-clés : 12A20, 12A25 
Mollin, R. A.; Williams, H. C. Quadratic Non-Residues and Prime-Producing Polynomials. Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 474-478. doi: 10.4153/CMB-1989-068-1
@article{10_4153_CMB_1989_068_1,
     author = {Mollin, R. A. and Williams, H. C.},
     title = {Quadratic {Non-Residues} and {Prime-Producing} {Polynomials}},
     journal = {Canadian mathematical bulletin},
     pages = {474--478},
     year = {1989},
     volume = {32},
     number = {4},
     doi = {10.4153/CMB-1989-068-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-068-1/}
}
TY  - JOUR
AU  - Mollin, R. A.
AU  - Williams, H. C.
TI  - Quadratic Non-Residues and Prime-Producing Polynomials
JO  - Canadian mathematical bulletin
PY  - 1989
SP  - 474
EP  - 478
VL  - 32
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-068-1/
DO  - 10.4153/CMB-1989-068-1
ID  - 10_4153_CMB_1989_068_1
ER  - 
%0 Journal Article
%A Mollin, R. A.
%A Williams, H. C.
%T Quadratic Non-Residues and Prime-Producing Polynomials
%J Canadian mathematical bulletin
%D 1989
%P 474-478
%V 32
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-068-1/
%R 10.4153/CMB-1989-068-1
%F 10_4153_CMB_1989_068_1

Cité par Sources :