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A232532
Positive numbers not of the form x^2 - 3*y^2; complement of A084916.
4
2, 3, 5, 7, 8, 10, 11, 12, 14, 15, 17, 18, 19, 20, 21, 23, 26, 27, 28, 29, 30, 31, 32, 34, 35, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 50, 51, 53, 55, 56, 57, 58, 59, 60, 62, 63, 65, 66, 67, 68, 70, 71, 72, 74, 75, 76, 77, 79, 80, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 95, 98, 99
OFFSET
1,1
COMMENTS
Previous name was: Numbers j such that the equation a^2 + 3*j*b^2 = 3*c^2 + j*d^2 has no solutions in positive integers for a, b, c, d.
If j is in the sequence, so is j*k^2 for any positive integer k. - Charles R Greathouse IV, Dec 13 2013
PROG
(PARI) for(n=1, 99, if ([]==qfbsolve(Qfb(1, 0, -3), n, 2), print1(n, ", "))); \\ Joerg Arndt, Jun 05 2022
CROSSREFS
Cf. A084916 (complement).
Sequence in context: A288378 A187909 A156247 * A076798 A185596 A298863
KEYWORD
nonn
AUTHOR
V. Raman, Nov 25 2013
EXTENSIONS
Six more terms from V. Raman, Dec 13 2013
Edited by and better name from Jon E. Schoenfield and Joerg Arndt, Jun 05 2022
STATUS
approved