A140633 -id:A140633 - cp's OEIS frontend

A140615 Primes of the form 13x^2+6xy+21y^2.

13, 61, 109, 277, 349, 373, 541, 613, 733, 853, 877, 997, 1069, 1117, 1381, 1429, 1597, 1669, 1693, 1789, 1861, 1933, 2053, 2221, 2389, 2437, 2749, 2917, 3109, 3181, 3229, 3253, 3373, 3517, 3541, 3637, 3709, 4021, 4549, 4597, 4813, 4861

Offset: 1

T. D. Noe, May 19 2008

Discriminant=-1056. Also primes of the form 13x^2+2xy+61y^2.

In base 12, the sequence is 11, 51, 91, 1E1, 251, 271, 391, 431, 511, 5E1, 611, 6E1, 751, 791, 971, 9E1, E11, E71, E91, 1051, 10E1, 1151, 1231, 1351, 1471, 14E1, 1711, 1831, 1971, 1X11, 1X51, 1X71, 1E51, 2051, 2071, 2131, 2191, 23E1, 2771, 27E1, 2951, 2991, where X is 10 and E is 11. Moreover, the discriminant is -740. - Walter Kehowski, May 31 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[13, 6, 21, 10000], QuadPrimes2[13, -6, 21, 10000]] (* see A106856 *)

A140616 Primes of the form 5x^2+4xy+68y^2.

Original entry on oeis.org

5, 101, 173, 269, 293, 461, 509, 677, 773, 797, 941, 1013, 1109, 1181, 1277, 1301, 1613, 1637, 1949, 1973, 2141, 2309, 2357, 2477, 2621, 2693, 2789, 2861, 2957, 3461, 3533, 3701, 3797, 3821, 3989, 4133, 4157, 4373, 4493, 4637, 4877, 4973

Offset: 1

T. D. Noe, May 19 2008

Discriminant=-1344. Also primes of the form 5x^2+2xy+101y^2.

In base 12, the sequence is 5, 85, 125, 1X5, 205, 325, 365, 485, 545, 565, 665, 705, 785, 825, 8X5, 905, E25, E45, 1165, 1185, 12X5, 1405, 1445, 1525, 1625, 1685, 1745, 17X5, 1865, 2005, 2065, 2185, 2245, 2265, 2385, 2485, 24X5, 2645, 2725, 2825, 29X5, 2X65, where X is for 10 and E is for 11. Moreover, the discriminant is -940. - Walter Kehowski, May 31 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[5, 4, 68, 10000], QuadPrimes2[5, -4, 68, 10000]] (* see A106856 *)

A140619 Primes of the form 19x^2+4xy+28y^2.

Original entry on oeis.org

19, 43, 139, 211, 283, 307, 523, 547, 571, 739, 787, 811, 1051, 1459, 1531, 1579, 1627, 1723, 1867, 1987, 2131, 2251, 2371, 2659, 2683, 2851, 3163, 3187, 3307, 3571, 3643, 3691, 3739, 3907, 4003, 4099, 4219, 4243, 4363, 4483, 4507, 5011

Offset: 1

T. D. Noe, May 19 2008

Discriminant=-2112. Also primes of the form 19x^2+10xy+43y^2.

In base 12, the sequence is 17, 37, E7, 157, 1E7, 217, 377, 397, 3E7, 517, 557, 577, 737, X17, X77, XE7, E37, EE7, 10E7, 1197, 1297, 1377, 1457, 1657, 1677, 1797, 19E7, 1X17, 1XE7, 2097, 2137, 2177, 21E7, 2317, 2397, 2457, 2537, 2557, 2637, 2717, 2737, 2X97, where X is for 10 and E is for 11. Moreover, the discriminant is -1280. - 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, 4, 28, 10000], QuadPrimes2[19, -4, 28, 10000]] (* see A106856 *)

A140620 Primes of the form 23x^2+4xy+68y^2.

Original entry on oeis.org

23, 263, 503, 647, 887, 1223, 1583, 1823, 1847, 2063, 2207, 2447, 2687, 2903, 3407, 3527, 3623, 3767, 4007, 4463, 4703, 4943, 4967, 5087, 5303, 5807, 5903, 5927, 6263, 6863, 7127, 7487, 7583, 7823, 8087, 8423, 8447, 9623, 9767, 10007, 10247

Offset: 1

T. D. Noe, May 19 2008

Discriminant=-6240. Also primes of the form 23x^2+18xy+207y^2.

In base 12, the sequence is 1E, 19E, 35E, 45E, 61E, 85E, XEE, 107E, 109E, 123E, 133E, 14EE, 167E, 181E, 1E7E, 205E, 211E, 221E, 239E, 26EE, 287E, 2X3E, 2X5E, 2E3E, 309E, 343E, 34EE, 351E, 375E, 3E7E, 415E, 43EE, 447E, 463E, 481E, 4X5E, 4X7E, 569E, 579E, 595E, 5E1E, where X is 10 and E is 11. Moreover, the discriminant is -3740. - 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[23, 4, 68, 10000], QuadPrimes2[23, -4, 68, 10000]] (* see A106856 *)

A140632 Primes of the form 55x^2+10xy+199y^2.

Original entry on oeis.org

199, 439, 1039, 1231, 1951, 2239, 2551, 2791, 3559, 3631, 4759, 5431, 6991, 7159, 7591, 8839, 9439, 10111, 11119, 11311, 11959, 13159, 13711, 13831, 14479, 14551, 15391, 15679, 15991, 16519, 16831, 17239, 17359, 17839, 17911, 18199, 18919

Offset: 1

T. D. Noe, May 19 2008

Discriminant=-43680. Also primes of the form 159x^2+120xy+160y^2.

In base 12, the sequence is 147, 307, 727, 867, 1167, 1367, 1587, 1747, 2087, 2127, 2907, 3187, 4067, 4187, 4487, 5147, 5567, 5X27, 6527, 6667, 6E07, 7747, 7E27, 8007, 8467, 8507, 8XX7, 90X7, 9307, 9687, 98X7, 9E87, X067, X3X7, X447, X647, XE47, 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[55, 10, 199, 10000], QuadPrimes2[55, -10, 199, 10000]] (* see A106856 *)

A140617 Primes of the form 11x^2+8xy+32y^2.

Original entry on oeis.org

11, 107, 179, 347, 443, 491, 659, 683, 827, 947, 1019, 1163, 1187, 1283, 1451, 1499, 1523, 1619, 1667, 1787, 2003, 2027, 2339, 2459, 2531, 2699, 2843, 2963, 3011, 3203, 3299, 3347, 3371, 3467, 3539, 3803, 3851, 4019, 4139, 4211, 4523, 4547

Offset: 1

T. D. Noe, May 19 2008

Discriminant=-1344. Also primes of the form 11x^2+4xy+92y^2.

In base 12, the sequence is E, 8E, 12E, 24E, 30E, 34E, 46E, 48E, 58E, 66E, 70E, 80E, 82E, 8XE, X0E, X4E, X6E, E2E, E6E, 104E, 11XE, 120E, 142E, 150E, 156E, 168E, 178E, 186E, 18XE, 1X2E, 1XXE, 1E2E, 1E4E, 200E, 206E, 224E, 228E, 23XE, 248E, 252E, 274E, 276E, where X is for 10 and E is for 11. Moreover, the discriminant is -940. - Walter Kehowski, May 31 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[11, 8, 32, 10000], QuadPrimes2[11, -8, 32, 10000]] (* see A106856 *)

A140618 Primes of the form 20x^2+4xy+23y^2.

Original entry on oeis.org

23, 47, 191, 239, 263, 311, 359, 479, 503, 647, 719, 1031, 1103, 1151, 1223, 1487, 1559, 1583, 1607, 1847, 1871, 2039, 2063, 2087, 2399, 2543, 2591, 2927, 2999, 3407, 3671, 3767, 3863, 3911, 4007, 4127, 4463, 4583, 4679, 4751, 4799, 4871

Offset: 1

T. D. Noe, May 19 2008

Discriminant = -1824. Also primes of the form 23*x^2+20*x*y+44*y^2.

In base 12, the sequence is 1E, 3E, 13E, 17E, 19E, 21E, 25E, 33E, 35E, 45E, 4EE, 71E, 77E, 7EE, 85E, X3E, X9E, XEE, E1E, 109E, 10EE, 121E, 123E, 125E, 147E, 157E, 15EE, 183E, 189E, 1E7E, 215E, 221E, 229E, 231E, 239E, 247E, 26EE, 279E, 285E, 28EE, 293E, 299E, where X is for 10 and E is for 11. Moreover, the discriminant is -1080. - Walter Kehowski, May 31 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[20, 4, 23, 10000], QuadPrimes2[20, -4, 23, 10000]] (* see A106856 *)

A140621 Primes of the form 28x^2+12xy+57y^2.

Original entry on oeis.org

73, 97, 193, 457, 577, 1033, 1657, 1753, 2017, 2113, 2137, 2377, 2593, 2953, 3217, 3313, 3673, 3697, 4153, 4297, 4513, 5233, 5857, 6073, 6337, 6793, 7057, 7417, 7753, 7873, 7993, 8353, 8377, 9433, 9817, 10177, 10753, 10993, 11113, 11497

Offset: 1

T. D. Noe, May 19 2008

Discriminant=-6240. Also primes of the form 72x^2+48xy+73y^2.

In base 12, the sequence is 61, 81, 141, 321, 401, 721, E61, 1021, 1201, 1281, 12X1, 1461, 1601, 1861, 1X41, 1E01, 2161, 2181, 24X1, 25X1, 2741, 3041, 3481, 3621, 3801, 3E21, 4101, 4361, 45X1, 4681, 4761, 4X01, 4X21, 5561, 5821, 5X81, 6281, 6441, 6521, 67X1, where X is for 10 and E is for 11. Moreover, the discriminant is -3740. - 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, 12, 57, 10000], QuadPrimes2[28, -12, 57, 10000]] (* see A106856 *)

A140622 Primes of the form 21x^2+12xy+76y^2.

Original entry on oeis.org

109, 229, 349, 421, 541, 661, 709, 1021, 1549, 1669, 1789, 1861, 2221, 2269, 2749, 3061, 3109, 3229, 3469, 3541, 4621, 4789, 4909, 5101, 5701, 5869, 6229, 6469, 6661, 6781, 6949, 7741, 7789, 8101, 8221, 8461, 8821, 9349, 9661, 9781, 9901

Offset: 1

T. D. Noe, May 19 2008

Discriminant=-6240. Also primes of the form 45x^2+30xy+109y^2.

In base 12, the sequence is 91, 171, 251, 2E1, 391, 471, 4E1, 711, X91, E71, 1051, 10E1, 1351, 1391, 1711, 1931, 1971, 1X51, 2011, 2071, 2811, 2931, 2X11, 2E51, 3371, 3491, 3731, 38E1, 3X31, 3E11, 4031, 4591, 4611, 4831, 4911, 4X91, 5131, 54E1, 5711, 57E1, 5891, where X is for 10 and E is for 11. Moreover, the discriminant is -3740. - 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[21, 12, 76, 10000], QuadPrimes2[21, -12, 76, 10000]] (* see A106856 *)

A140623 Primes of the form 35x^2+30xy+51y^2.

Original entry on oeis.org

131, 179, 251, 419, 491, 659, 971, 1091, 1499, 1811, 1979, 2339, 2531, 2939, 3251, 3299, 3371, 3539, 3779, 3851, 4091, 4211, 4931, 5099, 5171, 5651, 6491, 6659, 6899, 6971, 7019, 7211, 7331, 8219, 8291, 9491, 9539, 9851, 10091, 10139, 10331

Offset: 1

T. D. Noe, May 19 2008

Discriminant=-6240. Also primes of the form 36x^2+12xy+131y^2.

In base 12, the sequence is XE, 12E, 18E, 2XE, 34E, 46E, 68E, 76E, X4E, 106E, 118E, 142E, 156E, 184E, 1X6E, 1XXE, 1E4E, 206E, 222E, 228E, 244E, 252E, 2X2E, 2E4E, 2EXE, 332E, 390E, 3X2E, 3EXE, 404E, 408E, 420E, 42XE, 490E, 496E, 55XE, 562E, 584E, 5X0E, 5X4E, 5E8E, where X is 10 and E is 11. Moreover, the discriminant is -3740. - 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[35, 30, 51, 10000], QuadPrimes2[35, -30, 51, 10000]] (* see A106856 *)

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

cp's OEIS Frontend

A140615 Primes of the form 13x^2+6xy+21y^2.

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A140616 Primes of the form 5x^2+4xy+68y^2.

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A140619 Primes of the form 19x^2+4xy+28y^2.

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A140620 Primes of the form 23x^2+4xy+68y^2.

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A140632 Primes of the form 55x^2+10xy+199y^2.

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A140617 Primes of the form 11x^2+8xy+32y^2.

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A140618 Primes of the form 20*x^2+4*x*y+23*y^2.

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A140621 Primes of the form 28x^2+12xy+57y^2.

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A140622 Primes of the form 21x^2+12xy+76y^2.

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A140618 Primes of the form 20x^2+4xy+23y^2.