Minesweeper All Digits

         
         
         
         
         
  
 
  Into each square of a 5x5 grid, place the digits from 0 to 8 once each.  In the unoccupied squares place mines as needed so that, as in classic minesweeper, each digit represents the number of mines neighboring that square.  Try to use the minimum number of mines necessary to achieve this.

Source: Original.

Solutions were received from Richard Mathar, Joseph DeVincentis, Pedro Romero, Jeremy Galvagni, Andrzej Solecki, Sudipta Das, and Jackson. Richard Mathar wrote a program to find all solutions. After removing rotations and reflections, they are listed here. 
  With the sorting/elimination as before (0 in the upper left corner..) we get
42 boards with 15 mines and 2 boards with 16 mines, listed below. This is more
than derived from elimination of my first e-mail, because this  contained some,
but not all swapped/rotated solutions.
  The integer number quoted after the "xx mines:" is obtained from a binary representation
of the mine locations (M=1, empty_or_number=0), where the upper left corner is the
least-significant digit and the lower right corner the most-significant digit.
  If the final number in such a line "xx mines: YYYYY" is "1", the same mine configuration
allows another placement of the numbers (which is not necessarily listed because it is
equivalent up to a rotation/mirror operation to another one).
Example: mine configuration 15924764 or 8060444.

16 mines: 33218316 0
01MM3
245MM
MMM6M
M8M7M
MMMMM

16 mines: 33209884 0
01MMM
2456M
MMMM3
M8M7M
MMMMM

15 mines: 8060444 0
01MMM
2457M
MMMMM
M8M6M
MMM3.

15 mines: 15924764 0
01MMM
2457M
MMMMM
M8M63
MMMM.

15 mines: 24313372 0
01MMM
2457M
MMMMM
M8M63
MMM.M

15 mines: 30080540 0
01MMM
2457M
MMMMM
M6M8M
.3MMM

15 mines: 31096348 0
01MMM
2457M
MMMMM
36M8M
M.MMM

15 mines: 32144924 0
01MMM
2457M
MMMMM
36M8M
.MMMM

15 mines: 33218192 0
01.3M
24M5M
MMM6M
M8M7M
MMMMM

15 mines: 5963420 1
0.MMM
25M8M
MMMMM
M7M6M
M4M31

15 mines: 8027804 1
0.MMM
25M8M
MMMMM
47M6M
MMM31

15 mines: 8060060 1
0.MMM
25M74
MMMMM
M8M6M
MMM31

15 mines: 8060444 1
0.MMM
2457M
MMMMM
M8M6M
MMM31

15 mines: 8060564 1
0.M4M
25M7M
MMMMM
M8M6M
MMM31

15 mines: 13827740 1
0.MMM
25M8M
MMMMM
M7M63
M4MM1

15 mines: 15892124 1
0.MMM
25M8M
MMMMM
47M63
MMMM1

15 mines: 15924380 1
0.MMM
25M74
MMMMM
M8M63
MMMM1

15 mines: 15924764 1
0.MMM
2457M
MMMMM
M8M63
MMMM1

15 mines: 15924884 1
0.M4M
25M7M
MMMMM
M8M63
MMMM1

15 mines: 21692060 1
0.MMM
25M8M
MMMMM
M6M7M
13M4M

15 mines: 23756444 1
0.MMM
25M8M
MMMMM
36M7M
1MM4M

15 mines: 24313372 1
01MMM
2457M
MMMMM
M8M6.
MMM3M

15 mines: 24837260 1
0.MM1
25M63
MMMMM
M8M7M
MMM4M

15 mines: 24837764 1
0.M31
25M6M
MMMMM
M8M7M
MMM4M

15 mines: 29556380 1
0.MMM
25M8M
MMMMM
M6M74
13MMM

15 mines: 30080156 1
0.MMM
25M74
MMMMM
M6M8M
13MMM

15 mines: 30080540 1
0.MMM
2457M
MMMMM
M6M8M
13MMM

15 mines: 30080660 1
0.M4M
25M7M
MMMMM
M6M8M
13MMM

15 mines: 31096348 1
01MMM
2457M
MMMMM
.6M8M
M3MMM

15 mines: 31127192 1
0.2MM
13M7M
M5MMM
M6M8M
M4MMM

15 mines: 31128092 1
0.MMM
1357M
2MMMM
M6M8M
M4MMM

15 mines: 31128716 1
0.MM1
25M63
MMMMM
M7M8M
M4MMM

15 mines: 31129220 1
0.M31
25M6M
MMMMM
M7M8M
M4MMM

15 mines: 31620764 1
0.MMM
25M8M
MMMMM
36M74
1MMMM

15 mines: 32144540 1
0.MMM
25M74
MMMMM
36M8M
1MMMM

15 mines: 32144924 1
0.MMM
2457M
MMMMM
36M8M
1MMMM

15 mines: 32145044 1
0.M4M
25M7M
MMMMM
36M8M
1MMMM

15 mines: 32701580 1
0.MM1
25M63
MMMMM
M8M74
MMMMM

15 mines: 32702084 1
0.M31
25M6M
MMMMM
M8M74
MMMMM

15 mines: 33193100 1
0.MM1
25M63
MMMMM
47M8M
MMMMM

15 mines: 33193604 1
0.M31
25M6M
MMMMM
47M8M
MMMMM

15 mines: 33218192 1
0.13M
24M5M
MMM6M
M8M7M
MMMMM

15 mines: 33223832 1
0.2MM
13M64
M5MMM
M7M8M
MMMMM

15 mines: 33224732 1
0.MMM
13564
2MMMM
M7M8M
MMMMM
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