LexicoWheels.EXE, generator of lotto wheels based on lexicographical indexing; applies to any lotto, Keno, Powerball, Mega Millions, Euromillions.
The following is a collection of special Euromillions (Euromillones, Euromilhoes) wheels: Balanced and randomized. The reduced Euromillions systems are created by free lotto wheeling software. See the links on this page for more Euromillions wheeling software and other resources.
This is a collection of unique loto wheels applicable to the Euro Millions game. The wheels are created under the restriction of balanced lexicographical indexing AND the hypergeometric odds. The wheels do not assure the minimum guarantee 100% in every winning drawing. Nevertheless, if the winning condition (i.e. correctly selecting the 5 winners in the first ball set and/or the 2 numbers in the second ballset) is reached 10 times, the wheels will assure an average of 10 hits. In fact, we do not treat the lottery as a one-shot deal! A sane gambler should never put all the eggs in one basket; or, bet the farm on one strike!
This type of wheels have a tremendous cost advantage: their size is equal to the number of combinations (lines) according to the odds for the respective category. Also, in my research, I detected the clear tendency for this kind of lotto wheels to offer better results, especially when the first and second prizes are concerned.
The first Euro Millions wheel only deals with the 9 numbers in the second ball set. The condition is '1 of 2', even though four of the nine numbers are missing. Again, in 10 successful tries the wheel will yield 10 combinations with at least '1 of 2 in 9'.
Two other wheels deal with numbers in the first set of 5 from 50. These wheels are applicable to 5-number regular lotto games. One of the wheels is wheeling all 50 numbers in the first ball set for the '3 of 5' minimum guarantee. The other wheel is a '4 of 5', 25-number wheel (also the first ballset).
Finally, there is a Euro Millions wheel that combines both sections of the game: '4 of 5', 15-number first set, plus '1 of 2', 5-number, second ball set.
Euro Millions Wheel: 9 numbers second set = '1 of 2';
3 combinations
1 5
3 6
6 8
Euro Millions Wheel: 15 numbers first ball set = '4 of 5';
5 numbers second ball set = '1 of 2';
122 combinations
1 2 3 4 5 1 3
1 2 3 4 5 3 4
1 2 3 9 15 1 3
1 2 3 9 15 3 4
1 2 4 9 10 1 3
1 2 4 9 10 3 4
1 2 5 9 15 1 3
1 2 5 9 15 3 4
1 2 6 13 15 1 3
1 2 6 13 15 3 4
1 2 8 14 15 1 3
1 2 8 14 15 3 4
1 3 4 6 11 1 3
1 3 4 6 11 3 4
1 3 5 7 8 1 3
1 3 5 7 8 3 4
1 3 6 8 15 1 3
1 3 6 8 15 3 4
1 3 8 9 10 1 3
1 3 8 9 10 3 4
1 3 11 13 15 1 3
1 3 11 13 15 3 4
1 4 5 14 15 1 3
1 4 5 14 15 3 4
1 4 7 10 11 1 3
1 4 7 10 11 3 4
1 4 9 14 15 1 3
1 4 9 14 15 3 4
1 5 6 11 15 1 3
1 5 6 11 15 3 4
1 5 8 12 13 1 3
1 5 8 12 13 3 4
1 6 7 9 12 1 3
1 6 7 9 12 3 4
1 6 9 12 14 1 3
1 6 9 12 14 3 4
1 7 9 10 15 1 3
1 7 9 10 15 3 4
1 8 10 12 13 1 3
1 8 10 12 13 3 4
1 12 13 14 15 1 3
1 12 13 14 15 3 4
2 3 4 12 13 1 3
2 3 4 12 13 3 4
2 3 5 14 15 1 3
2 3 5 14 15 3 4
2 3 7 10 11 1 3
2 3 7 10 11 3 4
2 3 9 14 15 1 3
2 3 9 14 15 3 4
2 4 5 9 15 1 3
2 4 5 9 15 3 4
2 4 6 13 15 1 3
2 4 6 13 15 3 4
2 4 8 14 15 1 3
2 4 8 14 15 3 4
2 5 6 8 15 1 3
2 5 6 8 15 3 4
2 5 8 9 10 1 3
2 5 8 9 10 3 4
2 5 11 13 15 1 3
2 5 11 13 15 3 4
2 6 8 12 14 1 3
2 6 8 12 14 3 4
2 7 8 10 15 1 3
2 7 8 10 15 3 4
2 8 9 10 15 1 3
2 8 9 10 15 3 4
2 9 13 14 15 1 3
2 9 13 14 15 3 4
3 4 5 10 15 1 3
3 4 5 10 15 3 4
3 4 7 8 12 1 3
3 4 7 8 12 3 4
3 4 9 10 15 1 3
3 4 9 10 15 3 4
3 5 6 9 14 1 3
3 5 6 9 14 3 4
3 5 8 9 15 1 3
3 5 8 9 15 3 4
3 5 13 14 15 1 3
3 5 13 14 15 3 4
3 6 9 10 11 1 3
3 6 9 10 11 3 4
3 7 8 12 13 1 3
3 7 8 12 13 3 4
3 8 9 12 13 1 3
3 8 9 12 13 3 4
3 10 11 13 15 1 3
3 10 11 13 15 3 4
4 5 7 8 12 1 3
4 5 7 8 12 3 4
4 5 9 10 15 1 3
4 5 9 10 15 3 4
4 6 7 11 13 1 3
4 6 7 11 13 3 4
4 6 10 12 14 1 3
4 6 10 12 14 3 4
4 7 9 14 15 1 3
4 7 9 14 15 3 4
4 8 11 13 15 1 3
4 8 11 13 15 3 4
5 6 7 9 12 1 3
5 6 7 9 12 3 4
5 6 9 12 14 1 3
5 6 9 12 14 3 4
5 7 9 10 15 1 3
5 7 9 10 15 3 4
5 8 10 12 13 1 3
5 8 10 12 13 3 4
5 12 13 14 15 1 3
5 12 13 14 15 3 4
6 7 11 13 14 1 3
6 7 11 13 14 3 4
6 9 10 13 15 1 3
6 9 10 13 15 3 4
7 8 10 13 15 1 3
7 8 10 13 15 3 4
8 9 10 11 15 1 3
8 9 10 11 15 3 4
10 11 13 14 15 1 3
10 11 13 14 15 3 4
Euro Millions Wheel: 25 numbers first ball set = '4 of 5';
532 combinations
1 2 3 4 19
1 2 3 10 14
1 2 3 19 24
1 2 4 9 19
1 2 4 18 20
1 2 5 10 14
1 2 5 19 24
1 2 6 12 16
1 2 7 8 21
1 2 7 16 21
1 2 8 13 15
1 2 9 11 20
1 2 10 11 15
1 2 10 23 25
1 2 12 13 21
1 2 13 16 25
1 2 15 16 25
1 2 17 24 25
1 3 4 7 12
1 3 4 13 25
1 3 5 7 22
1 3 5 14 24
1 3 6 9 18
1 3 6 18 19
1 3 7 12 23
1 3 8 10 14
1 3 8 19 24
1 3 9 16 25
1 3 10 16 20
1 3 11 17 21
1 3 12 20 25
1 3 14 17 22
1 3 16 20 23
1 4 5 6 10
1 4 5 12 17
1 4 6 7 21
1 4 6 14 23
1 4 7 10 20
1 4 7 20 25
1 4 8 15 24
1 4 9 13 25
1 4 10 13 20
1 4 11 14 18
1 4 12 16 21
1 4 13 21 25
1 4 15 21 25
1 4 19 21 25
1 5 6 11 19
1 5 7 8 11
1 5 7 15 20
1 5 8 12 17
1 5 9 10 24
1 5 9 21 25
1 5 10 20 24
1 5 11 23 24
1 5 13 15 24
1 5 14 23 25
1 5 17 20 25
1 6 7 10 11
1 6 7 19 21
1 6 8 14 25
1 6 9 13 16
1 6 10 12 23
1 6 11 13 20
1 6 12 15 21
1 6 13 19 25
1 6 15 19 25
1 6 18 24 25
1 7 8 13 20
1 7 9 11 25
1 7 10 11 20
1 7 11 12 16
1 7 12 14 15
1 7 13 17 22
1 7 15 17 22
1 7 18 19 24
1 8 9 13 20
1 8 10 13 15
1 8 11 13 24
1 8 12 15 25
1 8 13 20 24
1 8 15 20 24
1 8 19 20 24
1 9 10 16 25
1 9 11 18 19
1 9 12 22 23
1 9 14 18 20
1 9 16 21 24
1 10 11 12 21
1 10 12 14 20
1 10 13 18 20
1 10 15 18 20
1 10 18 20 24
1 11 12 18 22
1 11 14 15 25
1 11 16 18 20
1 11 20 24 25
1 12 14 17 22
1 12 16 20 23
1 13 14 15 19
1 13 16 17 21
1 13 20 21 25
1 14 17 18 21
1 15 16 19 23
1 15 22 24 25
1 17 18 21 25
1 20 21 23 24
2 3 4 9 24
2 3 4 18 25
2 3 5 10 19
2 3 5 20 24
2 3 6 12 21
2 3 7 9 10
2 3 7 17 18
2 3 8 13 20
2 3 9 11 25
2 3 10 11 20
2 3 11 12 16
2 3 12 14 15
2 3 13 17 22
2 3 15 17 22
2 3 18 19 24
2 4 5 8 20
2 4 5 16 20
2 4 6 10 18
2 4 6 20 23
2 4 7 14 15
2 4 8 11 15
2 4 8 23 25
2 4 9 18 25
2 4 10 18 20
2 4 11 19 23
2 4 13 14 19
2 4 14 19 24
2 4 17 18 21
2 5 6 8 9
2 5 6 15 18
2 5 7 10 25
2 5 7 22 23
2 5 8 16 20
2 5 9 14 19
2 5 10 13 25
2 5 11 14 23
2 5 12 17 18
2 5 13 23 25
2 5 15 23 25
2 5 19 23 25
2 6 7 13 17
2 6 8 10 20
2 6 8 20 25
2 6 9 17 23
2 6 10 17 18
2 6 11 18 20
2 6 12 22 24
2 6 14 18 21
2 6 16 21 25
2 7 8 9 19
2 7 8 18 20
2 7 9 15 24
2 7 10 15 19
2 7 11 16 19
2 7 12 19 20
2 7 14 16 20
2 7 16 18 24
2 7 21 23 24
2 8 9 18 20
2 8 10 17 22
2 8 11 18 24
2 8 12 24 25
2 8 14 18 25
2 8 16 23 24
2 9 10 11 25
2 9 11 12 21
2 9 12 14 20
2 9 13 18 20
2 9 15 18 20
2 9 18 20 24
2 10 11 16 24
2 10 12 19 25
2 10 14 16 25
2 10 16 19 23
2 10 22 24 25
2 11 13 15 25
2 11 14 24 25
2 11 17 21 22
2 12 13 17 22
2 12 15 17 22
2 12 18 19 24
2 13 14 21 25
2 13 17 19 25
2 14 15 19 24
2 14 18 23 25
2 15 17 24 25
2 16 18 22 23
2 18 19 20 24
3 4 5 7 22
3 4 5 14 24
3 4 6 9 18
3 4 6 18 19
3 4 7 12 23
3 4 8 10 14
3 4 8 19 24
3 4 9 16 25
3 4 10 16 20
3 4 11 17 21
3 4 12 20 25
3 4 14 17 22
3 4 16 20 23
3 5 6 7 11
3 5 6 13 24
3 5 7 9 25
3 5 7 19 20
3 5 8 14 24
3 5 9 13 15
3 5 10 12 22
3 5 11 13 19
3 5 12 15 20
3 5 13 19 24
3 5 15 19 24
3 5 18 23 25
3 6 7 12 14
3 6 8 9 20
3 6 8 18 21
3 6 9 15 25
3 6 10 15 20
3 6 11 16 20
3 6 12 19 21
3 6 14 16 21
3 6 16 18 25
3 6 21 23 25
3 7 8 16 20
3 7 9 14 19
3 7 10 13 25
3 7 11 14 23
3 7 12 17 18
3 7 13 23 25
3 7 15 23 25
3 7 19 23 25
3 8 9 16 20
3 8 10 15 24
3 8 11 16 24
3 8 12 19 25
3 8 14 16 25
3 8 16 19 23
3 8 22 24 25
3 9 10 21 25
3 9 12 13 16
3 9 13 16 20
3 9 15 16 20
3 9 17 22 23
3 10 11 15 18
3 10 12 17 23
3 10 14 15 19
3 10 16 17 21
3 10 20 21 25
3 11 13 14 20
3 11 14 19 25
3 11 17 18 22
3 12 13 15 24
3 12 14 23 25
3 12 17 20 25
3 13 14 18 25
3 13 16 23 24
3 14 15 17 22
3 14 18 19 24
3 15 17 19 25
3 16 18 19 20
3 17 20 23 25
4 5 6 8 9
4 5 6 15 18
4 5 7 10 25
4 5 7 22 23
4 5 8 16 20
4 5 9 14 19
4 5 10 13 25
4 5 11 14 23
4 5 12 17 18
4 5 13 23 25
4 5 15 23 25
4 5 19 23 25
4 6 7 13 17
4 6 8 10 20
4 6 8 20 25
4 6 9 17 23
4 6 10 17 18
4 6 11 18 20
4 6 12 22 24
4 6 14 18 21
4 6 16 21 25
4 7 8 9 19
4 7 8 18 20
4 7 9 15 24
4 7 10 15 19
4 7 11 16 19
4 7 12 19 20
4 7 14 16 20
4 7 16 18 24
4 7 21 23 24
4 8 9 18 20
4 8 10 17 22
4 8 11 18 24
4 8 12 24 25
4 8 14 18 25
4 8 16 23 24
4 9 10 11 25
4 9 11 12 21
4 9 12 14 20
4 9 13 18 20
4 9 15 18 20
4 9 18 20 24
4 10 11 16 24
4 10 12 19 25
4 10 14 16 25
4 10 16 19 23
4 10 22 24 25
4 11 13 15 25
4 11 14 24 25
4 11 17 21 22
4 12 13 17 22
4 12 15 17 22
4 12 18 19 24
4 13 14 21 25
4 13 17 19 25
4 14 15 19 24
4 14 18 23 25
4 15 17 24 25
4 16 18 22 23
4 18 19 20 24
5 6 7 10 11
5 6 7 19 21
5 6 8 14 25
5 6 9 13 16
5 6 10 12 23
5 6 11 13 20
5 6 12 15 21
5 6 13 19 25
5 6 15 19 25
5 6 18 24 25
5 7 8 13 20
5 7 9 11 25
5 7 10 11 20
5 7 11 12 16
5 7 12 14 15
5 7 13 17 22
5 7 15 17 22
5 7 18 19 24
5 8 9 13 20
5 8 10 13 15
5 8 11 13 24
5 8 12 15 25
5 8 13 20 24
5 8 15 20 24
5 8 19 20 24
5 9 10 16 25
5 9 11 18 19
5 9 12 22 23
5 9 14 18 20
5 9 16 21 24
5 10 11 12 21
5 10 12 14 20
5 10 13 18 20
5 10 15 18 20
5 10 18 20 24
5 11 12 18 22
5 11 14 15 25
5 11 16 18 20
5 11 20 24 25
5 12 14 17 22
5 12 16 20 23
5 13 14 15 19
5 13 16 17 21
5 13 20 21 25
5 14 17 18 21
5 15 16 19 23
5 15 22 24 25
5 17 18 21 25
5 20 21 23 24
6 7 8 15 23
6 7 9 13 24
6 7 10 13 19
6 7 11 14 17
6 7 12 16 20
6 7 13 21 24
6 7 15 21 24
6 7 19 21 24
6 8 9 15 23
6 8 10 15 18
6 8 11 16 18
6 8 12 18 25
6 8 14 16 19
6 8 16 18 23
6 8 21 22 25
6 9 10 20 23
6 9 11 22 25
6 9 13 15 23
6 9 14 23 24
6 9 17 20 24
6 10 11 14 22
6 10 12 16 25
6 10 13 23 24
6 10 15 23 24
6 10 19 23 24
6 11 12 24 25
6 11 14 18 25
6 11 16 23 24
6 12 13 15 18
6 12 14 21 24
6 12 17 19 24
6 13 14 18 19
6 13 16 21 23
6 14 15 16 24
6 14 17 23 25
6 15 17 18 25
6 16 17 22 23
6 17 20 21 24
7 8 9 10 23
7 8 9 21 24
7 8 10 20 23
7 8 11 22 25
7 8 13 15 23
7 8 14 23 24
7 8 17 20 24
7 9 10 13 19
7 9 11 14 17
7 9 12 16 20
7 9 13 21 24
7 9 15 21 24
7 9 19 21 24
7 10 11 19 22
7 10 13 14 18
7 10 14 19 23
7 10 17 18 20
7 11 12 14 20
7 11 13 18 20
7 11 15 18 20
7 11 18 20 24
7 12 13 20 23
7 12 15 20 23
7 12 19 20 23
7 13 15 17 21
7 13 18 19 23
7 14 16 17 20
7 14 20 21 24
7 15 18 23 24
7 16 19 23 25
7 18 20 23 24
8 9 10 15 18
8 9 11 16 18
8 9 12 18 25
8 9 14 16 19
8 9 16 18 23
8 9 21 22 25
8 10 12 13 15
8 10 13 16 19
8 10 15 16 19
8 10 17 21 25
8 11 12 16 21
8 11 13 21 25
8 11 15 21 25
8 11 19 21 25
8 12 14 15 23
8 12 16 17 25
8 12 20 23 24
8 13 15 20 23
8 13 19 20 23
8 14 16 20 22
8 15 16 17 20
8 15 20 21 24
8 16 22 24 25
8 19 20 23 24
9 10 11 19 22
9 10 13 14 18
9 10 14 19 23
9 10 17 18 20
9 11 12 14 20
9 11 13 18 20
9 11 15 18 20
9 11 18 20 24
9 12 13 20 23
9 12 15 20 23
9 12 19 20 23
9 13 15 17 21
9 13 18 19 23
9 14 16 17 20
9 14 20 21 24
9 15 18 23 24
9 16 19 23 25
9 18 20 23 24
10 11 12 18 21
10 11 14 15 24
10 11 16 18 19
10 11 20 23 25
10 12 14 17 21
10 12 16 20 22
10 13 14 15 18
10 13 16 17 20
10 13 20 21 24
10 14 17 18 20
10 15 16 19 22
10 15 22 23 25
10 17 18 21 24
10 20 21 22 25
11 12 14 17 20
11 12 16 20 21
11 13 14 15 17
11 13 16 17 19
11 13 20 21 23
11 14 17 18 19
11 15 16 19 21
11 15 22 23 24
11 17 18 21 23
11 20 21 22 24
12 13 15 20 22
12 13 19 20 22
12 14 16 20 21
12 15 16 17 19
12 15 20 21 23
12 16 22 23 25
12 19 20 22 25
13 14 16 21 22
13 15 16 17 24
13 15 20 22 25
13 17 18 19 22
13 19 21 22 24
14 15 18 21 23
14 16 19 21 24
14 18 20 21 23
15 16 18 23 24
15 18 19 21 23
16 17 20 21 22
17 18 19 22 24
19 20 21 24 25
Euro Millions Wheel: 50 numbers first ball set = '3 of 5';
215 combinations
1 2 3 5 39
1 2 14 31 45
1 3 6 22 41
1 3 21 38 39
1 4 12 16 36
1 5 6 39 48
1 5 22 34 45
1 6 15 30 40
1 7 11 40 48
1 8 9 35 49
1 8 32 40 45
1 9 28 37 42
1 10 28 38 50
1 11 32 42 49
1 13 14 45 49
1 14 20 24 44
1 15 31 38 49
1 17 25 26 50
1 19 26 35 48
1 22 23 26 30
1 25 30 46 50
1 31 44 49 50
2 3 10 24 44
2 3 37 43 46
2 4 17 34 35
2 5 10 48 50
2 6 7 8 27
2 6 22 40 46
2 7 17 25 40
2 8 14 30 34
2 9 13 24 39
2 10 13 25 34
2 11 14 31 36
2 12 17 22 23
2 13 21 38 39
2 14 31 48 49
2 16 22 25 26
2 18 20 39 49
2 20 24 31 50
2 23 24 34 44
2 27 29 30 49
2 39 40 43 45
3 4 17 25 50
3 5 10 32 37
3 5 40 43 45
3 6 22 29 46
3 7 17 19 40
3 8 14 23 30
3 9 13 18 45
3 10 13 19 34
3 11 14 24 25
3 12 16 41 44
3 13 21 28 39
3 14 31 32 36
3 16 21 35 44
3 18 20 29 39
3 20 23 45 49
3 23 24 26 35
3 27 28 33 40
3 38 40 43 45
4 5 19 20 49
4 6 13 18 41
4 7 9 39 49
4 7 32 49 50
4 8 25 36 45
4 9 23 28 50
4 10 23 29 49
4 11 25 38 41
4 12 32 36 46
4 14 17 19 50
4 15 25 27 37
4 17 20 40 49
4 19 21 46 49
4 21 29 33 41
4 24 36 45 48
4 30 34 43 50
5 6 12 24 41
5 7 9 17 27
5 7 30 31 50
5 8 24 26 35
5 9 22 23 26
5 10 22 23 46
5 11 24 27 33
5 12 29 38 40
5 14 16 21 24
5 15 23 33 50
5 17 19 35 49
5 19 20 36 45
5 21 27 30 41
5 24 32 39 50
5 30 31 35 48
6 7 13 16 19
6 8 10 39 43
6 8 43 46 49
6 9 33 34 48
6 10 33 36 39
6 11 44 48 50
6 13 16 24 32
6 14 22 26 35
6 15 39 40 48
6 17 28 29 48
6 19 30 32 36
6 22 25 36 44
6 25 37 41 50
6 32 45 48 49
7 8 19 32 46
7 9 18 20 33
7 10 18 21 24
7 11 19 33 50
7 12 23 28 39
7 13 31 38 48
7 15 19 24 48
7 16 32 37 38
7 18 29 36 49
7 20 42 43 50
7 23 44 45 48
7 28 36 47 50
8 9 12 46 50
8 10 13 14 28
8 11 14 18 25
8 12 16 29 47
8 13 20 46 49
8 14 30 32 36
8 16 21 26 44
8 18 20 22 36
8 20 23 31 39
8 22 40 44 48
8 26 41 48 49
8 37 41 45 47
9 10 33 35 43
9 11 44 45 49
9 13 16 23 48
9 14 22 25 49
9 15 38 48 49
9 17 28 29 38
9 19 30 31 44
9 22 25 35 48
9 25 37 40 49
9 32 44 48 49
10 11 25 43 50
10 12 32 41 45
10 14 17 21 45
10 15 25 29 48
10 17 21 22 30
10 19 22 24 44
10 21 29 36 50
10 24 37 41 50
10 30 35 38 44
11 12 21 27 49
11 13 27 46 49
11 15 17 35 48
11 16 28 35 48
11 18 26 33 47
11 20 32 48 49
11 23 33 36 48
11 28 31 33 47
12 13 16 25 41
12 14 22 27 46
12 15 39 45 47
12 17 28 31 43
12 19 30 34 37
12 22 25 39 42
12 25 37 48 49
12 33 34 36 43
13 14 38 39 47
13 16 24 25 43
13 18 22 33 39
13 20 26 40 41
13 23 26 46 47
13 27 32 45 48
14 15 16 24 31
14 16 25 35 43
14 18 23 47 50
14 20 28 41 43
14 23 29 30 32
14 27 37 40 48
15 16 18 25 38
15 17 32 45 48
15 19 36 44 46
15 22 29 33 43
15 26 29 36 49
15 34 37 41 44
16 18 24 39 41
16 20 30 31 42
16 23 30 34 36
16 27 42 45 47
17 18 21 24 45
17 20 24 41 47
17 23 25 26 32
17 27 29 39 46
17 39 45 47 49
18 21 24 40 42
18 24 28 45 46
18 29 34 39 46
19 20 33 37 44
19 23 33 41 47
19 28 31 37 43
20 21 26 36 42
20 24 31 39 50
20 29 41 47 48
21 23 25 38 41
21 27 30 42 48
21 42 43 44 45
22 26 42 44 47
22 37 41 48 50
23 28 31 32 37
24 25 32 42 44
24 32 35 37 43
25 29 36 48 50
26 29 31 34 48
27 29 43 45 49
28 32 36 43 49
30 31 35 40 50
32 35 43 45 48
42 44 46 47 48
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