login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A107138 Primes of the form 3x^2 + 11y^2. 2
3, 11, 23, 47, 59, 71, 179, 191, 251, 311, 383, 419, 443, 467, 587, 599, 647, 683, 719, 839, 863, 911, 947, 971, 983, 1103, 1259, 1307, 1367, 1439, 1499, 1511, 1523, 1571, 1607, 1787, 1871, 1907, 2003, 2027, 2039, 2099, 2267, 2399, 2423, 2447, 2531 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Discriminant = -132. See A107132 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 {3, 11, 23, 47, 59, 71, 119} (mod 132). - T. D. Noe, May 02 2008

MATHEMATICA

QuadPrimes2[3, 0, 11, 10000] (* see A106856 *)

PROG

(MAGMA) [ p: p in PrimesUpTo(3000) | p mod 132 in {3, 11, 23, 47, 59, 71, 119} ]; // Vincenzo Librandi, Jul 24 2012

(PARI) list(lim)=my(v=List([3]), s=[11, 23, 47, 59, 71, 119]); forprime(p=11, lim, if(setsearch(s, p%132), listput(v, p))); Vec(v) \\ Charles R Greathouse IV, Feb 09 2017

CROSSREFS

Cf. A139827.

Sequence in context: A294368 A296556 A141187 * A145473 A248348 A173078

Adjacent sequences:  A107135 A107136 A107137 * A107139 A107140 A107141

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 13 2005

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 December 6 09:35 EST 2019. Contains 329791 sequences. (Running on oeis4.)