The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A340133 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A340133

The sequence lists the least prime numbers, in ascending order, such that each of them can be written, in a unique way, in the form x^2 + h*y^2, where x, y are natural numbers, while h takes all the values of the sequences A000926 (Idoneal numbers) and A003173 (Heegner numbers). See example.
(history; published version)

#20 by Susanna Cuyler at Thu Apr 01 23:10:15 EDT 2021

STATUS

proposed

approved

#19 by Jianing Song at Thu Apr 01 22:00:34 EDT 2021

STATUS

editing

proposed

#18 by Jianing Song at Thu Apr 01 21:58:22 EDT 2021

KEYWORD

new,nonn

nonn

STATUS

approved

editing

Discussion

Thu Apr 01

22:00

Jianing Song: Removed keyword "new" manually added by the author.

#17 by N. J. A. Sloane at Wed Jan 20 18:39:36 EST 2021

STATUS

proposed

approved

#16 by Michel Marcus at Wed Jan 20 13:02:07 EST 2021

STATUS

editing

proposed

#15 by Michel Marcus at Wed Jan 20 13:02:02 EST 2021

EXAMPLE

3230498881=2465^2+A000926(1)*56784^2=56609^2+A000926(2)*3600^2=35927^2+A000926(3)*25428^2=...=56791^2+A003173(9)*180^2=...=35743^2+A000926(65)*1028^2

3230498881 = 2465^2+A000926(1)*56784^2

= 56609^2+A000926(2)*3600^2

= 35927^2+A000926(3)*25428^2

= ...

= 56791^2+A003173(9)*180^2

= ...

= 35743^2+A000926(65)*1028^2

STATUS

approved

editing

#14 by N. J. A. Sloane at Tue Jan 19 22:05:57 EST 2021

STATUS

proposed

approved

#13 by Michel Marcus at Thu Dec 31 09:42:14 EST 2020

STATUS

editing

proposed

#12 by Michel Marcus at Thu Dec 31 09:42:05 EST 2020

COMMENTS

First number in this sequence is equal to least common number of sequences A340055 and A340132.

First number in this sequence is equal to least common number of sequences A340055 and A340132. The sequence is obtained using Lista(m), with m=266*10^8, see section PROG. It's possible increase m to discover more terms of the sequence. It's also possible to extend the sequences A340055 and A340132 to check their common numbers.

STATUS

proposed

editing

Discussion

Thu Dec 31

09:42

Michel Marcus: see A340132 discussions

#11 by Marco Frigerio at Thu Dec 31 08:07:59 EST 2020

STATUS

editing

proposed