Address.
Mathematisches Institut, Eckerstr. 1, 79111 Freiburg,
Germany
E-mail. jcp@arcade.mathematik.uni-freiburg.de
Abstract.
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.
AMSclassification. 11R11, 11R20.
Keywords. Real quadratic fields, class number, Rabinowitsch polynomials.