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Search: id:A102273
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| A102273 |
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Primes p such that Q(sqrt(-21p)) has genus characters chi_{-3} = -1, chi_{-7} = +1. |
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+0
4
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| 11, 23, 71, 107, 179, 191, 239, 263, 347, 359, 431, 443, 491, 599, 659, 683, 743, 827, 863, 911, 947, 1019, 1031, 1103, 1163, 1187
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The 2-class number of these fields is always 4.
Primes of the form 2x^2-2xy+11y^2 with x nonnegative and y positive. - T. D. Noe (noe(AT)sspectra.com), May 08 2005
Also primes of the forms 8x^2+4xy+11y^2 and 11x^2+2xy+23y^2. See A140633. - T. D. Noe (noe(AT)sspectra.com), May 19 2008
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REFERENCES
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Cohn, H. and Lagarias, J. C., On the existence of fields governing the 2-invariants of the classgroup of Q(sqrt{dp}) as p varies, Math. Comp. 41 (1983), 711-730.
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FORMULA
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The primes are congruent to {2, 11, 23, 71} (mod 84). - T. D. Noe (noe(AT)sspectra.com), May 02 2008
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CROSSREFS
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Cf. A102269-A102275.
Cf. A139827.
Sequence in context: A081510 A068844 A139905 this_sequence A104066 A060160 A050767
Adjacent sequences: A102270 A102271 A102272 this_sequence A102274 A102275 A102276
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KEYWORD
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nonn
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AUTHOR
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njas, Feb 19 2005
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