Densest Solvable Boards

Minesweeper is fundamentally a game of logic, but it is common even in regular playing to find situations that require guessing. As the number of mines increase, guesses only become more and more common. The question of this section is, how dense can a board of a given size be, such that even if we do not know the total number of mines, every square can be solved using logic without guessing? That means we want to be able to figure out where every safe space is, and also know that every other square is a mine because it is next to a safe square. These boards represent the current records for various sizes.

4x4 Board with 9 Mines (by Lin Jinfan)
5x5 Board with 16 Mines

6x6 Board with 22 Mines (by Lin Jinfan)

7x7 Board with 32 Mines (by Lin Jinfan)

8x8 Board with 40 Mines (by noob)

9x9 Board with 50 Mines (by noob)

10x10 Board with 62 Mines (by noob)

11x11 Board with 74 Mines (by noob)

12x12 Board with 88 Mines (by Baldy)

13x13 Board with 100 Mines (by noob)

14x14 Board with 118 Mines (by noob)

15x15 Board with 136 Mines (by Baldy)

16x16 Board with 154 Mines (by noob)

16x30 Board with 282 Mines (by Baldy & Lin Jinfan)

24x30 Board with 427 Mines (by noob & Baldy & Lin Jinfan)