Re: 25x25 puzzle factor tables

skeeter84 wrote:

Hello, everyone. Seventeen people have solved the 25x25 as of this message, and I'm sure Patrick and fzpowerman would love to see that number go even higher. To that end, I present you all with 2-cell and 3-cell factor tables. I made factoring tables for myself when I did the 19x19 and 20x20 puzzles, and the stuff I included was "made to order" specifically for them. The list below now covers 1-25 inclusive and may come in handy for solving fzpowerman's 25x25 behemoth. I don't know what exactly you're up against in Patrick's latest puzzle book, but this will hopefully be helpful. Although my lists do not and cannot possibly cover everything, I feel I've covered a decent amount. Enjoy!

skeeter84

2 cells ...

Thank you for the tables

, good compilation job.

It will be useful. A comment. Two cells must be contiguous so combinations of the type 2x2, 3x3, 4x4, 5x5, 6x6, 7x7, 8x8, ... are never possible, that is, the table can be simplified a little bit (same for 6x6x6 for 216... ).

In the other hand, I observe the lack of other combinations like 100 in two cells (4x25; 5x20), 48 in 3 cells, etc., but it is clear that it's not possible to give all possible factorizations (the number of combinations, only without repetition, of 25 numbers, taken in groups of 3, is 2,300, so the list would be terrible.