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Go math related to largest prime

Posted: Fri Feb 08, 2013 7:13 am
by msgreg
The largest prime found thus far has just made the announcement rounds: it is 17 million digits long. "The newest find is 2 to the power of 57,885,161 minus 1." Can anyone come up with a simple comparison of that number and some number related to go?

Wouldn't 17 million digits be 10^17 (10 to the power of 17)?

At the Go and Mathematics wikipedia page it lists the longest theoretical go game at 10^10^171 moves. That's quite a bit bigger than 10^17.

Maximum legal game positions on a 9x9 board is estimated to be over 4x10^38.

Just a fun exercise.

Re: Go math related to largest prime

Posted: Fri Feb 08, 2013 8:27 am
by uPWarrior
17 million digits is actually 10^(17000000), which is ~ 10^(10^8)