Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A139831
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A139831 Primes of the form 2x^2+2xy+23y^2. +0
4
2, 23, 47, 83, 107, 167, 227, 263, 347, 383, 443, 467, 503, 563, 587, 647, 683, 743, 827, 863, 887, 947, 983, 1103, 1163, 1187, 1223, 1283, 1307, 1367, 1427, 1487, 1523, 1583, 1607, 1667, 1787, 1823, 1847, 1907, 2003, 2027, 2063, 2087, 2207 (list; graph; listen)
OFFSET

1,1

COMMENT

Discriminant=-180. See A139827 for more information.

Except for 2, also primes of the forms 3x^2+20y^2 (A107169) and 8x^2+4xy+23y^2. See A140633. - T. D. Noe (noe(AT)sspectra.com), May 19 2008

FORMULA

Except for 2, the primes are congruent to {23, 47} (mod 60).

MATHEMATICA

QuadPrimes[2, -2, 23, 10000] (* see A106856 *)

CROSSREFS

Sequence in context: A156557 A002428 A105440 this_sequence A049592 A057621 A074809

Adjacent sequences: A139828 A139829 A139830 this_sequence A139832 A139833 A139834

KEYWORD

nonn,easy

AUTHOR

T. D. Noe (noe(AT)sspectra.com), May 02 2008

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


AT&T Labs Research