A133315 Positive discriminants with form class number 1.

5, 8, 12, 13, 17, 20, 21, 24, 28, 29, 32, 33, 37, 41, 44, 45, 48, 52, 53, 56, 57, 61, 68, 69, 72, 73, 76, 77, 80, 84, 88, 89, 92, 93, 97, 101, 108, 109, 112, 113, 116, 117, 124, 125, 128, 129, 132, 133, 137, 141, 149, 152, 153, 157, 161, 164, 172, 173, 176, 177, 180, 181, 184, 188, 189, 193, 197, 201, 208

Offset

1,1

References

D. A. Cox, Primes of the form x^2+ny^2, Wiley, New York, 1989.

D. E. Flath, Introduction to Number Theory, Wiley-Interscience, 1989.

Links

Table of n, a(n) for n=1..69.

Prog

(PARI) isA133315 (n) = (n % 4 <= 1) && (! issquare(n)) && (qfbclassno(n, 1) == 1) \\ Michel Marcus, May 23 2013

Crossrefs

Sequence in context: A294227 A116602 A079896 * A003658 A003656 A003246

Adjacent sequences: A133312 A133313 A133314 * A133316 A133317 A133318

Keyword

nonn

Author

David Brink, Dec 30 2007

Status

approved