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Positive n such that the ring of algebraic integers O_n in a quadratic number field has class number 1 but is not Euclidean with respect to the norm.
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%I #6 Aug 29 2018 02:53:55

%S 53,56,61,69,77,88,89,92,93

%N Positive n such that the ring of algebraic integers O_n in a quadratic number field has class number 1 but is not Euclidean with respect to the norm.

%C The usual symbol in number theory is O_d, not O_n.

%H Erich Kaltofen and Heinrich Rolletschek, <a href="https://doi.org/10.1090/S0025-5718-1989-0982367-2">Computing greatest common divisors and factorizations in quadratic number fields</a>, Mathematics of Computation 53.188 (1989): 697-720. See page 698.

%Y Cf. A014602.

%K nonn,more

%O 1,1

%A _N. J. A. Sloane_, Aug 29 2018