cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-2 of 2 results.

A141776 Primes of the form 3*x^2 + 4*x*y - 6*y^2 (as well as of the form 3*x^2 + 10*x*y + y^2).

Original entry on oeis.org

3, 11, 59, 67, 89, 97, 113, 137, 163, 179, 251, 257, 313, 331, 353, 379, 401, 419, 433, 443, 449, 467, 499, 521, 577, 587, 617, 619, 641, 643, 683, 691, 859, 881, 883, 907, 929, 947, 971, 977, 1049, 1123, 1153, 1171, 1193, 1259, 1291, 1307, 1321, 1409, 1433
Offset: 1

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Author

Laura Caballero Fernandez, Lourdes Calvo Moguer, Maria Josefa Cano Marquez, Oscar Jesus Falcon Ganfornina and Sergio Garrido Morales (sergarmor(AT)yahoo.es), Jul 04 2008

Keywords

Comments

Discriminant = 88. Class = 2. Binary quadratic forms a*x^2 + b*x*y + c*y^2 have discriminant d = b^2 - 4ac.

Examples

			a(1)=3 because we can write 3=3*1^2+4*1*0-6*0^2 (or 3=3*1^2+10*1*0+0^2).

References

  • Z. I. Borevich and I. R. Shafarevich, Number Theory.

Links

Crossrefs

Cf. A141777 (d=88).

Extensions

More terms from Colin Barker, Apr 05 2015

A141778 Primes of the form 4*x^2 + 3*x*y - 5*y^2 (as well as of the form 8*x^2 + 11*x*y + y^2).

Original entry on oeis.org

2, 5, 11, 17, 47, 53, 67, 71, 73, 79, 89, 97, 107, 109, 131, 139, 157, 167, 173, 179, 199, 223, 227, 233, 251, 257, 263, 269, 271, 277, 283, 307, 311, 317, 331, 347, 367, 373, 401, 409, 443, 449, 461, 463, 467, 479, 487, 509, 523, 587, 601, 607, 613, 619, 631
Offset: 1

Views

Author

Laura Caballero Fernandez, Lourdes Calvo Moguer, Maria Josefa Cano Marquez, Oscar Jesus Falcon Ganfornina and Sergio Garrido Morales (sergarmor(AT)yahoo.es), Jul 04 2008

Keywords

Comments

Discriminant = 89. Class = 1. Binary quadratic forms a*x^2+b*x*y+c*y^2 have discriminant d=b^2-4ac and gcd(a,b,c)=1.
A subsequence of (and may possibly coincide with) A038977. - R. J. Mathar, Jul 22 2008

Examples

			a(1) = 2 because we can write 2 = 4*1^2 + 3*1*1 - 5*1^2.

References

  • Z. I. Borevich and I. R. Shafarevich, Number Theory.

Links

Crossrefs

See also A038872 (d=5). A038873 (d=8). A068228, A141123 (d=12). A038883 (d=13). A038889 (d=17). A141158 (d=20). A141159, A141160 (d=21). A141170, A141171 (d=24). A141172, A141173 (d=28). A141174, A141175 (d=32). A141176, A141177 (d=33). A141178 (d=37). A141179, A141180 (d=40). A141181 (d=41). A141182, A141183 (d=44). A033212, A141785 (d=45). A068228, A141187 (d=48). A141188 (d=52). A141189 (d=53). A141190, A141191 (d=56). A141192, A141193 (d=57). A107152, A141302, A141303, A141304 (d=60). A141215 (d=61). A141111, A141112 (d=65). A141750 (d=73). A141772, A141773 (d=85). A141776, A141777 (d=88). A141778 (d=89). A141161, A141163 (d=148). A141165, A141166 (d=229). A141167, A141168 (d=257).

Extensions

Typo in crossrefs fixed by Colin Barker, Apr 05 2015
Showing 1-2 of 2 results.

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