A139952 Primes of the form 10x^2+10xy+41y^2.

41, 61, 101, 241, 349, 409, 461, 601, 761, 769, 941, 1069, 1249, 1361, 1601, 1669, 1861, 1889, 1949, 2089, 2141, 2309, 2441, 2609, 2749, 2789, 3121, 3181, 3209, 3449, 3461, 3541, 3709, 3769, 3989, 4021, 4241, 4289, 4441, 4549, 4721, 4861

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 {41, 61, 101, 129, 241, 321, 349, 369, 381, 409, 461, 481, 549, 601, 629, 689, 761, 769, 789, 901, 909, 941, 1041, 1069, 1161, 1209, 1249, 1349, 1361, 1469} (mod 1540).

Mathematica

QuadPrimes2[10, -10, 41, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1540 in [41, 61, 101, 129, 241, 321, 349, 369, 381, 409, 461, 481, 549, 601, 629, 689, 761, 769, 789, 901, 909, 941, 1041, 1069, 1161, 1209, 1249, 1349, 1361, 1469]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A145022 A154763 A141881 * A195573 A260554 A031415

Adjacent sequences: A139949 A139950 A139951 * A139953 A139954 A139955

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved