Seeking Rubik's Facts

[cuBerBruce]

... and all checked positions have had a solution of 20 moves or fewer ...

It seems kind of silly to say this now that we know 20 moves suffice for all positions.

... with a small number of positions (such as the superflip) having an optimal solution of 20 moves.

No, actually there are millions of such positions. (Don't believe everything you read in the Wiki.)

The number of such positions is an extremely tiny fraction of the total, but the wording used in the Wiki is very misleading, so I wouldn't copy it.

WAIT if he said 43,whatever,000 thats not prime it can be divided by 10s and 5s and lots of other stuff

He said unsolved positions. So that would be 43,whatever,999

I note that this page http://primes.utm.edu/curios/page.php/43252003274489855999.html mentions this fact.

DID YOU KNOW... that when the first two layers of a Rubik's Cube are solved, there are 1211 cases (excluding mirrors) possible on the remaining last layer?

The number 1211 does not count inverses as distinct cases either (as well as mirrors not counted separately). (Of course, as usual, it does not count as distinct cases those that apply the same maneuver but from a different angle, and does not count the alignment of the last layer with the first two layers to matter either.) It doesn't include the solved case as a case either.