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Numbers k such that Q(k^(1/3)) is a purely real cubic field.
2

%I #17 Mar 19 2022 10:15:47

%S 2,3,5,6,7,10,11,12,13,14,15,17,19,20,21,22,23,26,28,29,30,31,33,34,

%T 35,37,38,39,41,42,43,44,45,46,47,51,52,53,55,57,58,59,60,61,62,63,65,

%U 66,67,68,69,70,71,73,74,76,77,78,79,82,83,84,85,86,87,89,90,91,92,93,94,95,97,99,101,102,103,105,106,107,109,110

%N Numbers k such that Q(k^(1/3)) is a purely real cubic field.

%H Hideo Wada, <a href="https://doi.org/10.3792/pja/1195526509">A table of fundamental units of purely cubic fields</a>, Proc. Japan Acad. 46 (1970), 1135-1140. [Math. Rev. MR0294292]

%Y Cf. A006832, A349811.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Dec 22 2021

%E More than the usual number of terms are given in order to distinguish this from several similar sequences.