Geodesic
Prime Producing Quadratic Polynomials and Class-Numbers of Real Quadratic Fields
Canadian journal of mathematics, Tome 42 (1990) no. 2, pp. 315-341

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

Frobenius-Rabinowitsch's theorem provides us with a necessary and sufficient condition for the class-number of a complex quadratic field with negative discriminant D to be one in terms of the primality of the values taken by the quadratic polynomial with discriminant Don consecutive integers (See [1], [7]). M. D. Hendy extended Frobenius-Rabinowitsch's result to a necessary and sufficient condition for the class-number of a complex quadratic field with discriminant D to be two in terms of the primality of the values taken by the quadratic polynomials and with discriminant D (see [2], [7]). 
Louboutin, Stéphane. Prime Producing Quadratic Polynomials and Class-Numbers of Real Quadratic Fields. Canadian journal of mathematics, Tome 42 (1990) no. 2, pp. 315-341. doi: 10.4153/CJM-1990-018-3
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