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   The following mathematical Cover lower bounds are given for reference purposes only and not as a recommendation to be played in Lotto. The bounds in red are Steiner Systems which cannot be further compacted. Beyond Pool 30 for a Pick 6 Lotto game see merged mathematical covers.

Covers or Wheels with Guarantee for Pick 6 
with World’s lowest bounds

Pool

3if6

3if5

3if4

3if3

4if6

4if5

4if4

5if6

5if5

7

1

1

1

4

1

1

5

1

6

8

1

1

3

4

1

3

7

4

12

9

1

2

3

7

3

3

12

7

30

10

2

2

4

10

3

7

20

14

50

11

2

2

5

11

5

10

32

22

100

12

2

2

6

15

6

14

41

38

13

2

5

9

21

10

21

66

61

14

4

5

11

25

14

31 

80

98

15

4

7

14

31

19

41 

16

5

8

16

38

25

54 

17

6

11

20

44

34 

70 

18

7

12

25

48

42 

81 

19

9

15

30

63

54 

20

10

18

35 

72

66 

21

13

21

40 

77

80 

22

15

22

46 

77

23

17

26

54 

104

24

20

 30

61 

116

25

22

34

68 

130

26

25

39 

76 

130

27

27

45 

86 

167

28

31

49 

97 

188

29

35

55 

108 

221

30

 39

61 

119 

 225

Regards
Colin Fairbrother

Lower Bounds for mathematical Covers
LottoPoster Forums : LOTTO THEORY, CONCEPTS AND METHODS OF PLAY : Lower Bounds for mathematical Covers

Topic: World's Best Lower Bounds for Covers/Wheels