Geodesic
Finiteness of a class of Rabinowitsch polynomials
Archivum mathematicum, Tome 40 (2004) no. 3, pp. 259-261
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We prove that there are only finitely many positive integers $m$ such that there is some integer $t$ such that $|n^2+n-m|$ is 1 or a prime for all $n\in [t+1, t+\sqrt{m}]$, thus solving a problem of Byeon and Stark.
We prove that there are only finitely many positive integers $m$ such that there is some integer $t$ such that $|n^2+n-m|$ is 1 or a prime for all $n\in [t+1, t+\sqrt{m}]$, thus solving a problem of Byeon and Stark.
Classification : 11C08, 11R11, 11R29
Keywords: real quadratic fields; class number; Rabinowitsch polynomials 
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Schlage-Puchta, Jan-Christoph. Finiteness of a class of Rabinowitsch polynomials. Archivum mathematicum, Tome 40 (2004) no. 3, pp. 259-261. http://geodesic.mathdoc.fr/item/ARM_2004_40_3_a4/

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[4] Rabinowitsch G.: Eindeutigkeit der Zerlegung in Primzahlfaktoren in quadratischen Zahlkörpern. J. Reine Angew. Mathematik 142 (1913), 153–164.