login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A139955 Primes of the form 22x^2+22xy+23y^2. 2
23, 67, 163, 443, 463, 487, 683, 823, 863, 883, 907, 947, 1087, 1103, 1303, 1367, 1423, 1523, 1607, 1747, 1787, 2003, 2027, 2083, 2143, 2347, 2423, 2447, 2843, 2927, 2963, 3067, 3347, 3623, 3767, 3943, 4027, 4327, 4447, 4547, 4603, 4643 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Discriminant=-1540. See A139827 for more information.

LINKS

Vincenzo Librandi and Ray Chandler, Table of n, a(n) for n = 1..10000 [First 1000 terms from Vincenzo Librandi]

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

FORMULA

The primes are congruent to {23, 67, 163, 207, 247, 267, 323, 443, 463, 487, 543, 603, 683, 687, 807, 823, 863, 883, 907, 947, 1087, 1103, 1247, 1303, 1367, 1387, 1423, 1467, 1523, 1527} (mod 1540).

MATHEMATICA

QuadPrimes2[22, -22, 23, 10000] (* see A106856 *)

PROG

(MAGMA) [ p: p in PrimesUpTo(6000) | p mod 1540 in [23, 67, 163, 207, 247, 267, 323, 443, 463, 487, 543, 603, 683, 687, 807, 823, 863, 883, 907, 947, 1087, 1103, 1247, 1303, 1367, 1387, 1423, 1467, 1523, 1527]]; // Vincenzo Librandi, Aug 02 2012

CROSSREFS

Sequence in context: A031376 A069173 A124716 * A126377 A136064 A142302

Adjacent sequences:  A139952 A139953 A139954 * A139956 A139957 A139958

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 02 2008

EXTENSIONS

Corrected and extended b-file - Ray Chandler, Aug 01 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 26 03:20 EST 2020. Contains 338632 sequences. (Running on oeis4.)