Ticket Numbers Range Filter

Menu: Filters  Ticket Numbers Range

This filter allows tickets selection based on scattering of their numbers throughout the range of drawn numbers.

Controls Description

The filter has two switches: The maximum difference of every and any:

Filtering The Maximum difference of every

The filter ensures that matching ticket will have the difference of starting and ending numbers of all sequences of given length in the given range. (If the ticket contains 6 numbers then the sequences can be any two, three, four or five tickets' neighboring numbers. E.g. for ticket 1 - 2 - 3 - 4 - 5 - 6 the sequences are 1-2, 2-3, 3-4, 4-5, 5-6 (two numbers); 1-2-3, 2-3-4, 3-4-5, 4-5-6 (three numbers); 1-2-3-4, 2-3-4-5 a 3-4-5-6 (four numbers) etc.)

Let's use the following four tickets in the package as an example:

1 4 8 10 15 18
1 4 8 11 15 18
1 3 4 8 15 18
1 2 3 4 5 6

When you select The maximum difference of every 3 neighboring numbers in the ticket is "2 to 7” and choose to Leave matching tickets in the package then the result will be:

1 4 8 11 15 18
1 2 3 4 5 6

Because the differences of starting and ending numbers of 3-number sequences are in the range of 2 to 7:

Sequence
(Ending Number - Starting Number)
Difference
Result
8-1
7
OK
11-4
7
OK
15-8
7
OK
18-11
7
OK

However tickets 1, 4, 8, 10, 15, 18 and 1, 3, 4, 8, 15, 18 have at least one sequence with difference greater than "7".

Sequence
(Ending Number - Starting Number)
Difference
Result
8-1
7
OK
10-4
6
OK
15-8
7
OK
18-10
8
Fail
18-8
10
Fail

Using this filter you can control how 'far' (or how 'close') are ticket's number from each other throughout the whole range of drawn numbers. You can understand the filter advantages better when applied to lotteries like Expert Lotto Keno. It is important to realize that all number sequence must pass the difference condition. The filter is suitable for example when processing tickets with dummy numbers - see Example 2.

Filtering The Maximum difference of any

The filter ensures that matching ticket will have the differences of starting and ending numbers of at least one 3-number sequence in the range of 3 to 19 as shown in the figure above. The ticket added - 1, 3, 22, 27, 42, 49 - has all these differences greater then 19 thus it fails the filter (22-1= 21, 27-3=24, 42-22=20, 49-27=22)

Selecting filter parameters as shown in figure below yields the following results:

The filtered-out tickets are in the table below. No 3-number sequence of these tickets has the difference of starting and ending numbers lower or equal to the specified value.

1 4 8 10 15 18
1 4 8 11 15 18
1 3 22 27 42 49
1 4 8 10 15 48