A139490 -id:A139490 - cp's OEIS frontend

A139497 Primes of the form x^2 + 15x*y + y^2 for x and y nonnegative.

17, 101, 103, 127, 179, 251, 263, 373, 433, 563, 599, 647, 701, 757, 797, 937, 953, 971, 1063, 1069, 1223, 1277, 1427, 1453, 1481, 1483, 1531, 1543, 1583, 1667, 1699, 1759, 1811, 1871, 2053, 2083, 2089, 2141, 2297, 2393, 2473, 2549, 2837, 2843, 2909, 2939

Offset: 1

Artur Jasinski, Apr 24 2008

nonn

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Cf. A139489, A007645, A068228, A007519, A033212, A033212, A107152, A107008, A033215, A107145, A139490, A139491.

a = {}; w = 15; k = 1; Do[Do[If[PrimeQ[n^2 + w*n*m + k*m^2], AppendTo[a, n^2 + w*n*m + k*m^2]], {n, m, 400}], {m, 1, 400}]; Union[a] (*Artur Jasinski*)

A139498 Primes of the form x^2 + 17x*y + y^2 for x and y nonnegative.

Original entry on oeis.org

19, 61, 139, 199, 229, 271, 349, 499, 541, 571, 619, 631, 691, 709, 739, 769, 859, 919, 1051, 1069, 1201, 1279, 1429, 1489, 1531, 1621, 1669, 1759, 1831, 1879, 1999, 2011, 2221, 2239, 2251, 2281, 2341, 2551, 2671, 2791, 2851, 2971, 3019, 3049, 3079, 3121

Offset: 1

Artur Jasinski, Apr 24 2008

nonn

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Cf. A139489, A007645, A068228, A007519, A033212, A033212, A107152, A107008, A033215, A107145, A139490, A139491.

a = {}; w = 17; k = 1; Do[Do[If[PrimeQ[n^2 + w*n*m + k*m^2], AppendTo[a, n^2 + w*n*m + k*m^2]], {n, m, 400}], {m, 1, 400}]; Union[a] (*Artur Jasinski*)

A139499 Primes of the form x^2 + 19x*y + y^2 for x and y nonnegative.

Original entry on oeis.org

43, 67, 127, 151, 331, 373, 421, 457, 463, 613, 631, 739, 757, 883, 919, 967, 1033, 1087, 1171, 1327, 1381, 1429, 1453, 1471, 1549, 1579, 1597, 1747, 1759, 1789, 1801, 2053, 2083, 2143, 2269, 2293, 2311, 2347, 2389, 2473, 2503, 2671, 2767, 2797, 2857

Offset: 1

Artur Jasinski, Apr 24 2008

nonn

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Cf. A139489, A007645, A068228, A007519, A033212, A033212, A107152, A107008, A033215, A107145, A139490, A139491.

a = {}; w = 19; k = 1; Do[Do[If[PrimeQ[n^2 + w*n*m + k*m^2], AppendTo[a, n^2 + w*n*m + k*m^2]], {n, m, 400}], {m, 1, 400}]; Union[a] (*Artur Jasinski*)
upto=3000;With[{max=Ceiling[Sqrt[upto]]},Select[Union[Select[(First[#]^2+ 19First[#]Last[#]+ Last[#]^2)&/@(Tuples[Range[0,max],{2}]), PrimeQ]], #<+upto&]] (* Harvey P. Dale, Jul 20 2011 *)

A139500 Primes of the form x^2 + 20x*y + y^2 for x and y nonnegative.

Original entry on oeis.org

97, 157, 229, 577, 661, 709, 829, 1453, 1549, 1609, 1621, 1873, 2017, 2137, 2473, 2677, 2689, 2797, 2953, 3001, 3037, 3217, 3301, 3433, 3457, 3613, 3733, 4093, 4261, 4273, 4357, 4513, 4621, 4657, 4801, 4933, 5113, 5281, 5437, 5641, 6229, 6301, 6337

Offset: 1

Artur Jasinski, Apr 24 2008

nonn

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Cf. A139489, A007645, A068228, A007519, A033212, A033212, A107152, A107008, A033215, A107145, A139490, A139491.

a = {}; w = 20; k = 1; Do[Do[If[PrimeQ[n^2 + w*n*m + k*m^2], AppendTo[a, n^2 + w*n*m + k*m^2]], {n, m, 400}], {m, 1, 400}]; Union[a] (*Artur Jasinski*)
With[{nn=50},Take[Select[Union[Flatten[Table[x^2+20 x y +y^2,{x,0,2nn},{y,0,2nn}]]],PrimeQ],nn]] (* Harvey P. Dale, Nov 02 2022 *)

A139501 Primes of the form x^2 + 21x*y + y^2 for x and y nonnegative.

Original entry on oeis.org

23, 47, 73, 101, 131, 139, 163, 197, 233, 239, 271, 277, 311, 347, 349, 353, 397, 443, 461, 463, 491, 499, 541, 577, 587, 593, 647, 653, 691, 719, 739, 761, 809, 821, 823, 853, 859, 883, 929, 947, 967, 997, 1013, 1051, 1061, 1087, 1151, 1163, 1223, 1277

Offset: 1

Artur Jasinski, Apr 24 2008

nonn

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Cf. A139489, A007645, A068228, A007519, A033212, A033212, A107152, A107008, A033215, A107145, A139490, A139491.

a = {}; w = 21; k = 1; Do[Do[If[PrimeQ[n^2 + w*n*m + k*m^2], AppendTo[a, n^2 + w*n*m + k*m^2]], {n, m, 400}], {m, 1, 400}]; Union[a] (*Artur Jasinski*)

A139503 Primes of the form x^2 + 23x*y + y^2 for x and y nonnegative.

Original entry on oeis.org

79, 109, 151, 211, 331, 379, 421, 499, 541, 571, 631, 709, 739, 751, 919, 991, 1009, 1051, 1129, 1171, 1201, 1381, 1429, 1471, 1549, 1579, 1621, 1759, 1789, 1801, 1831, 1999, 2011, 2179, 2221, 2251, 2269, 2311, 2389, 2521, 2671, 2689, 2731, 2851, 3019

Offset: 1

Artur Jasinski, Apr 24 2008

nonn

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Cf. A139489, A007645, A068228, A007519, A033212, A033212, A107152, A107008, A033215, A107145, A139490, A139491.

a = {}; w = 23; k = 1; Do[Do[If[PrimeQ[n^2 + w*n*m + k*m^2], AppendTo[a, n^2 + w*n*m + k*m^2]], {n, m, 400}], {m, 1, 400}]; Union[a] (*Artur Jasinski*)

A139504 Primes of the form x^2 + 24x*y + y^2 for x and y nonnegative.

Original entry on oeis.org

53, 113, 157, 181, 257, 269, 313, 389, 433, 521, 641, 653, 757, 797, 829, 881, 1013, 1049, 1093, 1109, 1153, 1193, 1213, 1277, 1301, 1433, 1453, 1609, 1621, 1637, 1741, 1873, 1901, 1973, 2029, 2161, 2237, 2297, 2341, 2357, 2473, 2557, 2677, 2729, 2753

Offset: 1

Artur Jasinski, Apr 24 2008

nonn

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Cf. A139489, A007645, A068228, A007519, A033212, A033212, A107152, A107008, A033215, A107145, A139490, A139491.

a = {}; w = 24; k = 1; Do[Do[If[PrimeQ[n^2 + w*n*m + k*m^2], AppendTo[a, n^2 + w*n*m + k*m^2]], {n, m, 400}], {m, 1, 400}]; Union[a] (*Artur Jasinski*)

A139507 Primes of the form x^2 + 27x*y + y^2 for x and y nonnegative.

Original entry on oeis.org

29, 59, 199, 239, 281, 349, 419, 431, 439, 521, 571, 631, 719, 811, 821, 919, 941, 1009, 1019, 1021, 1039, 1069, 1151, 1231, 1301, 1321, 1459, 1579, 1789, 1831, 1861, 1889, 1949, 1979, 2029, 2039, 2089, 2111, 2141, 2269, 2311, 2411, 2441, 2609, 2659, 2789

Offset: 1

Artur Jasinski, Apr 24 2008

nonn

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Cf. A139489, A007645, A068228, A007519, A033212, A033212, A107152, A107008, A033215, A107145, A139490, A139491.

a = {}; w = 27; k = 1; Do[Do[If[PrimeQ[n^2 + w*n*m + k*m^2], AppendTo[a, n^2 + w*n*m + k*m^2]], {n, m, 400}], {m, 1, 400}]; Union[a] (*Artur Jasinski*)

A139508 Primes of the form x^2 + 28x*y + y^2 for x and y nonnegative.

Original entry on oeis.org

61, 181, 601, 829, 1069, 1249, 1381, 1429, 1609, 1621, 1741, 2029, 2089, 2161, 2341, 2389, 2521, 3121, 3169, 3181, 3301, 3709, 3769, 4021, 4261, 4549, 4729, 4801, 4861, 4969, 5209, 5281, 5521, 5581, 5641, 5749, 5821, 6301, 6361, 6421, 6529, 6709, 6829

Offset: 1

Artur Jasinski, Apr 24 2008

nonn

In base 12, the sequence is 51, 131, 421, 591, 751, 881, 971, 9E1, E21, E31, 1011, 1211, 1261, 1301, 1431, 1471, 1561, 1981, 1X01, 1X11, 1XE1, 2191, 2221, 23E1, 2571, 2771, 28X1, 2941, 2991, 2X61, 3021, 3081, 3241, 3291, 3321, 33E1, 3451, 3791, 3821, 3871, 3941, 3X71, 3E51, where X is 10 and E is 11. Moreover, the discriminant is 550. - Walter Kehowski, Jun 01 2008

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Cf. A139489, A007645, A068228, A007519, A033212, A033212, A107152, A107008, A033215, A107145, A139490, A139491.

a = {}; w = 28; k = 1; Do[Do[If[PrimeQ[n^2 + w*n*m + k*m^2], AppendTo[a, n^2 + w*n*m + k*m^2]], {n, m, 400}], {m, 1, 400}]; Union[a] (*Artur Jasinski*)

A139509 Primes of the form x^2 + 29x*y + y^2 for x and y nonnegative.

Original entry on oeis.org

31, 97, 211, 373, 547, 607, 661, 769, 877, 1051, 1087, 1123, 1249, 1279, 1303, 1423, 1597, 1657, 1663, 1693, 1741, 1777, 1861, 1867, 2143, 2179, 2251, 2341, 2467, 2539, 2791, 2857, 3229, 3259, 3319, 3331, 3373, 3511, 3541, 3643, 3697, 3769, 3823, 3877

Offset: 1

Artur Jasinski, Apr 24 2008

nonn

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Cf. A139489, A007645, A068228, A007519, A033212, A033212, A107152, A107008, A033215, A107145, A139490, A139491.

a = {}; w = 29; k = 1; Do[Do[If[PrimeQ[n^2 + w*n*m + k*m^2], AppendTo[a, n^2 + w*n*m + k*m^2]], {n, m, 400}], {m, 1, 400}]; Union[a] (*Artur Jasinski*)

cp's OEIS Frontend

A139497 Primes of the form x^2 + 15x*y + y^2 for x and y nonnegative.

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A139498 Primes of the form x^2 + 17x*y + y^2 for x and y nonnegative.

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A139499 Primes of the form x^2 + 19x*y + y^2 for x and y nonnegative.

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A139500 Primes of the form x^2 + 20x*y + y^2 for x and y nonnegative.

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A139501 Primes of the form x^2 + 21x*y + y^2 for x and y nonnegative.

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Mathematica

A139503 Primes of the form x^2 + 23x*y + y^2 for x and y nonnegative.

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Mathematica

A139504 Primes of the form x^2 + 24x*y + y^2 for x and y nonnegative.

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Author

Keywords

Links

Crossrefs

Programs

Mathematica

A139507 Primes of the form x^2 + 27x*y + y^2 for x and y nonnegative.

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Author

Keywords

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Crossrefs

Programs

Mathematica

A139508 Primes of the form x^2 + 28x*y + y^2 for x and y nonnegative.

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Author

Keywords

Comments

Links

Crossrefs

Programs

Mathematica

A139509 Primes of the form x^2 + 29x*y + y^2 for x and y nonnegative.

Views

Author

Keywords

Links

Crossrefs