login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A141773 Primes of the form x^2+9*x*y-y^2 (as well as of the form 9*x^2+11*x*y+y^2). 2
19, 59, 89, 101, 149, 151, 179, 191, 229, 239, 251, 271, 281, 331, 349, 359, 389, 409, 421, 461, 491, 509, 569, 599, 631, 659, 661, 701, 739, 761, 769, 829, 859, 919, 971 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Discriminant = 85. Class = 2. Binary quadratic forms a*x^2+b*x*y+c*y^2 have discriminant d=b^2-4ac and gcd(a,b,c)=1

REFERENCES

Borevich and Shafaewich, Number Theory.

D. B. Zagier, Zetafunktionen und quadratische Koerper.

EXAMPLE

a(1)=19 because we can write 19 = 1^2+9*1*3-3^2

CROSSREFS

Cf. A141772 (d=85).

Sequence in context: A041706 A042619 A141887 * A031375 A146351 A139920

Adjacent sequences:  A141770 A141771 A141772 * A141774 A141775 A141776

KEYWORD

nonn

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 17 16:49 EST 2012. Contains 206058 sequences.