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A003655 Discriminants of real quadratic fields with narrow class number 1.
(Formerly M3782)
3
5, 8, 13, 17, 29, 37, 41, 53, 61, 73, 89, 97, 101, 109, 113, 137, 149, 157, 173, 181, 193, 197, 233, 241, 269, 277, 281, 293, 313, 317, 337, 349, 353, 373, 389, 397, 409, 421, 433, 449, 457, 461, 509, 521, 541, 557, 569, 593, 601, 613, 617, 641, 653, 661, 673 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Or, positive fundamental discriminants with form class number 1.

REFERENCES

D. A. Buell, Binary Quadratic Forms. Springer-Verlag, NY, 1989, pp. 224-241.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=1..55.

Charles Delorme and Guillermo Pineda-Villavicencio, Quadratic Form Representations via Generalized Continuants, Journal of Integer Sequences, Vol. 18 (2015), Article 15.6.4.

CROSSREFS

Sequence in context: A314433 A314434 A003653 * A082823 A143747 A314435

Adjacent sequences:  A003652 A003653 A003654 * A003656 A003657 A003658

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Mira Bernstein

EXTENSIONS

Better definition from David Brink, Dec 30 2007, Jan 01 2008

STATUS

approved

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Last modified December 15 00:30 EST 2019. Contains 329988 sequences. (Running on oeis4.)