Original Prime Alternating Knot Enumberation Numbers

This table shows the number of prime alternating knots of each crossing size up to and including those of 23 crossings.

n
# Knots
Benchmark Platform
Time
Allocated Memory
Catalog Size
4-15
1 - 85,263
2.8GHz P4 Xeon (512k L2)/Linux IA32 (Intel C++ v7.1 -O3)
trivial
trivial trivial
16
379,799
2.8GHz P4 Xeon (512k L2)/Linux IA32 trivial
~1.8mB
6.5mB
17
1,769,979
2.8GHz P4 Xeon (512k L2)/Linux IA32 25s
~6.3mB
31.8mB
18
8,400,285
2.8GHz P4 Xeon (512k L2)/Linux IA32 2m 54s
~22mB
159.6mB
19
40,619,385
2.8GHz P4 Xeon (512k L2)/Linux IA32 14m 35s
~24mB
812.4mB
20
199,631,989
2.8GHz P4 Xeon (512k L2)/Linux IA32 1h 29m
~120mB
4.2gB
21
990,623,857
2.8GHz P4 Xeon (512k L2)/Linux IA32 6h 54m
~433mB
21.8gB
22
4,976,016,485
2.8GHz P4 Xeon (512k L2)/Linux IA32
35h 44m
~2.2gB
114.5gB
23
25,182,878,921
1.25GHZ Alpha EV68CB/Linux (Compaq ES45) (GNU C++ 2.95 -O3)
9d 12h 3m
~13.2gB
604.4gB
24
??
??
??
~72gB?
~3tB?