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A139964 Primes of the form 3x^2+154y^2. 1
3, 157, 181, 229, 397, 619, 643, 661, 691, 829, 859, 1021, 1123, 1237, 1291, 1483, 1699, 1741, 2029, 2203, 2341, 2467, 2539, 2677, 2707, 2803, 2971, 3037, 3331, 3499, 3547, 3853, 3877, 4051, 4093, 4261, 4339, 4357, 4651, 4723, 4933, 4987 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Discriminant=-1848. 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 {3, 115, 157, 181, 229, 355, 397, 493, 565, 619, 643, 661, 685, 691, 829, 859, 955, 1021, 1027, 1123, 1147, 1189, 1237, 1291, 1357, 1483, 1501, 1651, 1699, 1741, 1819} (mod 1848).

MATHEMATICA

QuadPrimes2[3, 0, 154, 10000] (* see A106856 *)

PROG

(MAGMA) [ p: p in PrimesUpTo(5000) | p mod 1848 in [3, 115, 157, 181, 229, 355, 397, 493, 565, 619, 643, 661, 685, 691, 829, 859, 955, 1021, 1027, 1123, 1147, 1189, 1237, 1291, 1357, 1483, 1501, 1651, 1699, 1741, 1819]]; // Vincenzo Librandi, Aug 02 2012

CROSSREFS

Sequence in context: A278877 A203682 A316479 * A048797 A281799 A163320

Adjacent sequences:  A139961 A139962 A139963 * A139965 A139966 A139967

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 02 2008

STATUS

approved

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Last modified April 21 02:10 EDT 2021. Contains 343143 sequences. (Running on oeis4.)