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A133676 Negative discriminants with form class group of exponent 4 (negated). 1
39, 55, 56, 63, 68, 80, 128, 136, 144, 155, 156, 171, 184, 196, 203, 208, 219, 220, 224, 252, 256, 259, 260, 264, 275, 276, 291, 292, 308, 320, 323, 328, 336, 355, 360, 363, 384, 387, 388, 400, 456, 468, 475, 504, 507, 528, 544, 552, 564, 568, 576, 580, 592 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

The sequence is finite. It appears to have exactly 485 terms, the largest being 887040.

The finiteness of the sequence was proved by Earnest and Estes.

I found the 485 terms with PARI and didn't find any other up to 50000000.

REFERENCES

David Brink, Five peculiar theorems on simultaneous representation of primes by quadratic forms. J. Number Theory, 2008, to appear.

A. G. Earnest and D. R. Estes, An algebraic approach to the growth of class numbers of binary quadratic lattices, Mathematika 28 (1981), no. 2, 160--168.

LINKS

David Brink, Table of n, a(n) for n = 1..485

David Brink, Five peculiar theorems on simultaneous representation of primes by quadratic forms (Video abstract)

Journal of Number Theory, Video Abstracts

CROSSREFS

Sequence in context: A181488 A020305 A070145 * A013658 A165346 A063480

Adjacent sequences:  A133673 A133674 A133675 * A133677 A133678 A133679

KEYWORD

fini,nonn

AUTHOR

David Brink (brink(AT)math.ku.dk), Dec 29 2007

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Last modified February 17 19:02 EST 2012. Contains 206078 sequences.