A140633 -id:A140633 - cp's OEIS frontend

A140624 Primes of the form 19x^2+14xy+91y^2.

19, 139, 619, 691, 811, 859, 1291, 1459, 1531, 1699, 2131, 2371, 2539, 2659, 2971, 3331, 3499, 4051, 4219, 4339, 4651, 5011, 5059, 5179, 5659, 5851, 6571, 6691, 7411, 7699, 8011, 8179, 8419, 8539, 9091, 9859, 9931, 10099, 10531, 10771, 10891

Offset: 1

T. D. Noe, May 19 2008

Discriminant=-6720. Also primes of the form 19x^2+16xy+136y^2.

In base 12, the sequence is 17, E7, 437, 497, 577, 5E7, 8E7, X17, X77, E97, 1297, 1457, 1577, 1657, 1877, 1E17, 2037, 2417, 2537, 2617, 2837, 2X97, 2E17, 2EE7, 3337, 3477, 3977, 3X57, 4357, 4557, 4777, 4897, 4X57, 4E37, 5317, 5857, 58E7, 5X17, 6117, 6297, 6377, where X is 10 and E is 11. Moreover, the discriminant is -3X80. - Walter Kehowski, Jun 01 2008

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)

Cf. A140633.

Union[QuadPrimes2[19, 14, 91, 10000], QuadPrimes2[19, -14, 91, 10000]] (* see A106856 *)

A140625 Primes of the form 28x^2+20xy+85y^2.

Original entry on oeis.org

157, 277, 397, 613, 733, 757, 853, 997, 1213, 1453, 1597, 2053, 2437, 2557, 2677, 2797, 3037, 3253, 3733, 3877, 4357, 4813, 4957, 5077, 5413, 5557, 6277, 6637, 6733, 6997, 7237, 7573, 8053, 8293, 8893, 9013, 9277, 9397, 9733, 9973, 10093

Offset: 1

T. D. Noe, May 19 2008

Discriminant=-9120. Also primes of the form 45x^2+30xy+157y^2.

In base 12, the sequence is 111, 1E1, 291, 431, 511, 531, 5E1, 6E1, 851, X11, E11, 1231, 14E1, 1591, 1671, 1751, 1911, 1X71, 21E1, 22E1, 2631, 2951, 2X51, 2E31, 3171, 3271, 3771, 3X11, 3X91, 4071, 4231, 4471, 47E1, 4971, 5191, 5271, 5451, 5531, 5771, 5931, 5X11, where X is 10 and E is 11. Moreover, the discriminant is -5340. - Walter Kehowski, Jun 01 2008

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)

Cf. A140633.

Union[QuadPrimes2[28, 20, 85, 10000], QuadPrimes2[28, -20, 85, 10000]] (* see A106856 *)

A140626 Primes of the form 51x^2+48xy+56y^2.

Original entry on oeis.org

59, 179, 659, 971, 1019, 1091, 1571, 1931, 1979, 2339, 2459, 2579, 2939, 3251, 3299, 3371, 3491, 3851, 4019, 4211, 4259, 4931, 5171, 5531, 5651, 6131, 6299, 6491, 6779, 6899, 7019, 7211, 7451, 7499, 7691, 8819, 9059, 9419, 9491, 10091

Offset: 1

T. D. Noe, May 19 2008

Discriminant=-9120. Also primes of the form 59x^2+4xy+116y^2.

In base 12, the sequence is 4E, 12E, 46E, 68E, 70E, 76E, XXE, 114E, 118E, 142E, 150E, 15XE, 184E, 1X6E, 1XXE, 1E4E, 202E, 228E, 23XE, 252E, 256E, 2X2E, 2EXE, 324E, 332E, 366E, 378E, 390E, 3E0E, 3EXE, 408E, 420E, 438E, 440E, 454E, 512E, 52XE, 554E, 55XE, 5X0E, where X is 10 and E is 11. Moreover, the discriminant is -5340. - Walter Kehowski, Jun 01 2008

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)

Cf. A140633.

Union[QuadPrimes2[51, 48, 56, 10000], QuadPrimes2[51, -48, 56, 10000]] (* see A106856 *)

Corrected and extended b-file - Ray Chandler, Aug 02 2014

A140627 Primes of the form 33x^2+24xy+88y^2.

Original entry on oeis.org

97, 313, 337, 433, 457, 937, 1033, 1753, 1873, 1993, 2113, 2137, 2593, 2713, 2857, 3217, 3457, 3697, 3793, 4177, 4297, 4513, 4657, 5113, 5737, 5857, 5953, 6217, 6553, 6577, 7057, 7393, 7417, 7873, 8233, 8377, 8713, 8737, 9337, 9697, 9817

Offset: 1

T. D. Noe, May 19 2008

Discriminant=-11040. Also primes of the form 57x^2+6xy+97y^2.

In base 12, the sequence is 81, 221, 241, 301, 321, 661, 721, 1021, 1101, 11X1, 1281, 12X1, 1601, 16X1, 17X1, 1X41, 2001, 2181, 2241, 2501, 25X1, 2741, 2841, 2E61, 33X1, 3481, 3541, 3721, 3961, 3981, 4101, 4341, 4361, 4681, 4921, 4X21, 5061, 5081, 54X1, 5741, 5821, where X is 10 and E is 11. Moreover, the discriminant is -6480. - Walter Kehowski, Jun 01 2008

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)

Cf. A140633.

Union[QuadPrimes2[33, 24, 88, 10000], QuadPrimes2[33, -24, 88, 10000]] (* see A106856 *)

A140628 Primes of the form 39x^2+6xy+71y^2.

Original entry on oeis.org

71, 239, 311, 599, 719, 1151, 1319, 1439, 1511, 1559, 1871, 2111, 2879, 2999, 3359, 3719, 3911, 4079, 4271, 4751, 4871, 5039, 5279, 5591, 5639, 6311, 6719, 6791, 6959, 7079, 8039, 8951, 8999, 9239, 9431, 9479, 9551, 9719, 9791, 9839, 10151

Offset: 1

T. D. Noe, May 19 2008

Discriminant=-11040. Also primes of the form 71x^2+70xy+95y^2.

In base 12, the sequence is 5E, 17E, 21E, 41E, 4EE, 7EE, 91E, 9EE, X5E, X9E, 10EE, 127E, 17EE, 189E, 1E3E, 219E, 231E, 243E, 257E, 28EE, 299E, 2XEE, 307E, 329E, 331E, 379E, 3X7E, 3E1E, 403E, 411E, 479E, 521E, 525E, 541E, 555E, 559E, 563E, 575E, 57EE, 583E, 5X5E, where X is 10 and E is 11. Moreover, the discriminant is -6480. - Walter Kehowski, Jun 01 2008

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)

Cf. A140633.

Union[QuadPrimes2[39, 6, 71, 10000], QuadPrimes2[39, -6, 71, 10000]] (* see A106856 *)

A140629 Primes of the form 76x^2+20xy+145y^2.

Original entry on oeis.org

241, 409, 769, 1321, 1489, 2281, 3001, 4129, 4441, 5449, 5689, 6121, 6481, 6961, 7129, 7321, 7369, 8209, 9001, 11161, 11329, 11689, 12241, 12409, 13249, 13681, 13921, 14929, 15361, 16369, 16729, 17041, 17401, 17569, 17881, 18049, 18289

Offset: 1

T. D. Noe, May 19 2008

Discriminant=-43680. Also primes of the form 96x^2+72xy+241y^2.

In base 12, the sequence is 181, 2X1, 541, 921, X41, 13X1, 18X1, 2481, 26X1, 31X1, 3361, 3661, 3901, 4041, 4161, 42X1, 4321, 4901, 5261, 6561, 6681, 6921, 7101, 7221, 7801, 7E01, 8081, 8781, 8X81, 9581, 9821, 9X41, X0X1, X201, X421, X541, X701, where X is 10 and E is 11. Moreover, the discriminant is -21340. - Walter Kehowski, Jun 01 2008

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)

Cf. A140633.

Union[QuadPrimes2[76, 20, 145, 10000], QuadPrimes2[76, -20, 145, 10000]] (* see A106856 *)

A140630 Primes of the form 88x^2+32xy+127y^2.

Original entry on oeis.org

127, 823, 1303, 1327, 1663, 3823, 3847, 3943, 4447, 4663, 4783, 5503, 6007, 6343, 6367, 6967, 7687, 8527, 8863, 10663, 10903, 11047, 11743, 12583, 13183, 14407, 14767, 15583, 16927, 17047, 18223, 19447, 20407, 20983, 23143, 23167, 23767

Offset: 1

T. D. Noe, May 19 2008

Discriminant=-43680. Also primes of the form 127x^2+4xy+172y^2.

In base 12, the sequence is X7, 587, 907, 927, E67, 2267, 2287, 2347, 26X7, 2847, 2927, 3227, 3587, 3807, 3827, 4047, 4547, 4E27, 5167, 6207, 6387, 6487, 6967, 7347, 7767, 8407, 8667, 9027, 9967, 9X47, X667, E307, E987, 10187, 11487, 114X7, 11907, where X is 10 and E is 11. Moreover, the discriminant is -21340. - Walter Kehowski, Jun 01 2008

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)

Cf. A140633.

Union[QuadPrimes2[88, 32, 127, 10000], QuadPrimes2[88, -32, 127, 10000]] (* see A106856 *)

A140631 Primes of the form 57x^2+18xy+193y^2.

Original entry on oeis.org

193, 457, 1033, 2017, 2137, 2377, 3217, 3313, 3697, 4153, 5233, 6073, 6337, 7057, 7417, 7753, 8353, 9433, 10753, 11113, 11617, 11953, 12097, 12433, 12553, 13297, 14737, 15073, 16417, 16633, 16993, 17257, 17977, 19273, 20113, 20353, 20857

Offset: 1

T. D. Noe, May 19 2008

Discriminant=-43680. Also primes of the form 148x^2+132xy+177y^2.

In base 12, the sequence is 141, 321, 721, 1201, 12X1, 1461, 1X41, 1E01, 2181, 24X1, 3041, 3621, 3801, 4101, 4361, 45X1, 4X01, 5561, 6281, 6521, 6881, 6E01, 7001, 7241, 7321, 7841, 8641, 8881, 9601, 9761, 9X01, 9EX1, X4X1, E1X1, E781, E941, 100X1, where X is 10 and E is 11. Moreover, the discriminant is -21340. - Walter Kehowski, Jun 01 2008

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)

Cf. A140633.

Union[QuadPrimes2[57, 18, 193, 10000], QuadPrimes2[57, -18, 193, 10000]] (* see A106856 *)

cp's OEIS Frontend

A140624 Primes of the form 19x^2+14xy+91y^2.

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A140625 Primes of the form 28x^2+20xy+85y^2.

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A140626 Primes of the form 51x^2+48xy+56y^2.

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A140627 Primes of the form 33x^2+24xy+88y^2.

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A140628 Primes of the form 39x^2+6xy+71y^2.

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A140629 Primes of the form 76x^2+20xy+145y^2.

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A140630 Primes of the form 88x^2+32xy+127y^2.

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A140631 Primes of the form 57x^2+18xy+193y^2.

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