PowerBall Number Chains

The different methods are relative to how the sequences were found.
The lottery matrix is built by weighing each numbers frequency and relative occurrences as compared to other numbers.

Example: we see 15 21 23 28 36 and PB 20 for May 15, 2010 drawing, and we look at the number 15.
The program counts the occurrence of 15 and then 15 shows up with 21, 15 shows up with 23 and so on...
Then the program generates the number chains based upon a given number, we find the highest frequency of pairs as they show in the matrix.
Since 15 and 21 may show up with the same frequency as 15 and 23, the code is set to either find the first pair with the highest frequency (ignoring subsequent pairs that have the same frequency)
or the last pair (ignoring those that came before).
Finally, the Fibonacci sequence (or Phi constant) derives a number chain based upon the formula where the last two numbers in the sequence equal the value of the next number. {0,1,1,2,3,5,8,13}
A couple drawings are generated to test the generated number chains since lottery drawings are, in fact, random occurrences.
** Note that this is no way affiliated with PowerBall or its affiliates.
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Analyzing 1343 PowerBall drawing results ...

Using assumptions:
1) with 18 billion possible combinations,
the probability of a repeat is insignificant and therefore not allowed
2) frequency of pairs in 1343 drawing results may give a clue to probable combinations
3) PowerPlay is insignificant to the game.
Further analysis can be compared against generated examples.

Searching for sample drawing A :: 16 29 37 49 55 PB 3 PP -1 :: not found
Searching for sample drawing B :: 7 10 12 34 51 PB 31 PP -1 :: not found
Searching for generated :: Sep 9, 2010 17 19 38 44 50 PB 15 PP -1 :: not found

most popular 26 used 150 times
most popular PB 20 used 49 times

USING FIRST FOUND METHOD
Probable number chain for 1 :: 1 12 45 46 48 PB 32
Probable number chain for 2 :: 2 12 42 45 48 PB 13
Probable number chain for 3 :: 3 12 20 42 45 PB 12
Probable number chain for 4 :: 4 16 27 35 39 PB 35
Probable number chain for 5 :: 5 16 39 41 42 PB 41
Probable number chain for 6 :: 6 20 35 42 44 PB 42
Probable number chain for 7 :: 7 14 16 39 42 PB 14
Probable number chain for 8 :: 8 20 39 42 44 PB 39
Probable number chain for 9 :: 9 20 27 35 44 PB 20
Probable number chain for 10 :: 10 12 20 42 45 PB 12
Probable number chain for 11 :: 11 16 20 39 42 PB 16
Probable number chain for 12 :: 12 20 42 44 45 PB 16
Probable number chain for 13 :: 12 13 45 46 48 PB 32
Probable number chain for 14 :: 14 16 20 39 42 PB 16
Probable number chain for 15 :: 15 16 27 35 39 PB 35
Probable number chain for 16 :: 16 20 39 42 44 PB 16
Probable number chain for 17 :: 14 16 17 39 42 PB 14
Probable number chain for 18 :: 12 18 45 46 48 PB 32
Probable number chain for 19 :: 12 19 42 45 48 PB 13
Probable number chain for 20 :: 16 20 27 35 44 PB 41
Probable number chain for 21 :: 14 16 21 39 42 PB 14
Probable number chain for 22 :: 20 22 42 44 45 PB 16
Probable number chain for 23 :: 12 23 45 46 48 PB 32
Probable number chain for 24 :: 12 24 42 45 48 PB 13
Probable number chain for 25 :: 16 20 25 39 42 PB 16
Probable number chain for 26 :: 20 26 35 42 44 PB 42
Probable number chain for 27 :: 16 20 27 39 42 PB 16
Probable number chain for 28 :: 12 28 45 46 48 PB 32
Probable number chain for 29 :: 16 20 29 39 42 PB 16
Probable number chain for 30 :: 16 20 30 39 42 PB 16
Probable number chain for 31 :: 20 31 42 44 45 PB 16
Probable number chain for 32 :: 20 32 35 42 44 PB 42
Probable number chain for 33 :: 16 27 33 35 39 PB 35
Probable number chain for 34 :: 16 27 34 35 39 PB 35
Probable number chain for 35 :: 16 27 35 39 42 PB 35
Probable number chain for 36 :: 20 36 39 42 44 PB 39
Probable number chain for 37 :: 16 20 37 39 42 PB 16
Probable number chain for 38 :: 16 25 38 39 42 PB 25
Probable number chain for 39 :: 20 35 39 42 44 PB 42
Probable number chain for 40 :: 14 16 39 40 42 PB 14
Probable number chain for 41 :: 16 20 39 41 42 PB 16
Probable number chain for 42 :: 20 27 35 42 44 PB 20
Probable number chain for 43 :: 16 27 35 39 43 PB 35
Probable number chain for 44 :: 16 27 35 39 44 PB 35
Probable number chain for 45 :: 20 35 42 44 45 PB 42
Probable number chain for 46 :: 12 42 45 46 48 PB 32
Probable number chain for 47 :: 20 27 35 44 47 PB 20
Probable number chain for 48 :: 12 20 42 45 48 PB 12
Probable number chain for 49 :: 14 16 39 42 49 PB 14
Probable number chain for 50 :: 16 20 39 42 50 PB 16
Probable number chain for 51 :: 16 20 39 42 51 PB 16
Probable number chain for 52 :: 20 31 42 45 52 PB 31
Probable number chain for 53 :: 20 35 42 44 53 PB 42
Probable number chain for 54 :: 14 16 39 42 54 PB 14
Probable number chain for 55 :: 14 16 39 40 55 PB 40
Probable number chain for 56 :: 16 20 39 42 56 PB 16
Probable number chain for 57 :: 20 42 44 45 57 PB 16
Probable number chain for 58 :: 20 42 44 45 58 PB 16
Probable number chain for 59 :: 12 42 45 48 59 PB 13

USING POWERBALL METHOD (START WITH PB and USE FIRST FOUND)
Probable number chain for PB 1 :: 16 20 39 42 44 PB 1
Probable number chain for PB 2 :: 20 35 42 44 45 PB 2
Probable number chain for PB 3 :: 20 35 42 44 45 PB 3
Probable number chain for PB 4 :: 12 20 42 45 48 PB 4
Probable number chain for PB 5 :: 16 20 39 41 42 PB 5
Probable number chain for PB 6 :: 20 27 35 42 44 PB 6
Probable number chain for PB 7 :: 20 35 42 44 45 PB 7
Probable number chain for PB 8 :: 20 27 35 42 44 PB 8
Probable number chain for PB 9 :: 16 20 39 42 44 PB 9
Probable number chain for PB 10 :: 3 12 20 42 45 PB 10
Probable number chain for PB 11 :: 16 20 30 39 42 PB 11
Probable number chain for PB 12 :: 20 32 35 42 44 PB 12
Probable number chain for PB 13 :: 16 20 25 39 42 PB 13
Probable number chain for PB 14 :: 14 16 39 40 42 PB 14
Probable number chain for PB 15 :: 16 20 37 39 42 PB 15
Probable number chain for PB 16 :: 20 27 35 42 44 PB 16
Probable number chain for PB 17 :: 20 35 39 42 44 PB 17
Probable number chain for PB 18 :: 16 27 35 39 44 PB 18
Probable number chain for PB 19 :: 12 23 45 46 48 PB 19
Probable number chain for PB 20 :: 16 20 39 42 44 PB 20
Probable number chain for PB 21 :: 20 36 39 42 44 PB 21
Probable number chain for PB 22 :: 12 20 42 44 45 PB 22
Probable number chain for PB 23 :: 16 20 39 42 44 PB 23
Probable number chain for PB 24 :: 16 27 35 39 43 PB 24
Probable number chain for PB 25 :: 16 27 35 39 44 PB 25
Probable number chain for PB 26 :: 12 20 42 45 48 PB 26
Probable number chain for PB 27 :: 16 20 39 41 42 PB 27
Probable number chain for PB 28 :: 20 31 42 44 45 PB 28
Probable number chain for PB 29 :: 20 26 35 42 44 PB 29
Probable number chain for PB 30 :: 14 16 39 42 49 PB 30
Probable number chain for PB 31 :: 14 16 39 40 42 PB 31
Probable number chain for PB 32 :: 16 20 27 35 44 PB 32
Probable number chain for PB 33 :: 12 42 45 46 48 PB 33
Probable number chain for PB 34 :: 14 16 39 42 49 PB 34
Probable number chain for PB 35 :: 16 27 35 39 42 PB 35
Probable number chain for PB 36 :: 20 35 39 42 44 PB 36
Probable number chain for PB 37 :: 14 16 20 39 42 PB 37
Probable number chain for PB 38 :: 14 16 39 42 49 PB 38
Probable number chain for PB 39 :: 16 25 38 39 42 PB 39

USING LAST FOUND METHOD
Probable number chain for 1 :: 1 41 52 54 55 PB 34
Probable number chain for 2 :: 2 41 52 54 55 PB 18
Probable number chain for 3 :: 3 41 52 54 55 PB 30
Probable number chain for 4 :: 4 41 51 52 54 PB 9
Probable number chain for 5 :: 5 43 52 54 55 PB 24
Probable number chain for 6 :: 6 41 52 54 55 PB 25
Probable number chain for 7 :: 7 43 51 52 54 PB 33
Probable number chain for 8 :: 8 41 51 52 54 PB 12
Probable number chain for 9 :: 9 41 52 54 55 PB 28
Probable number chain for 10 :: 10 41 52 54 55 PB 30
Probable number chain for 11 :: 11 43 52 54 55 PB 29
Probable number chain for 12 :: 12 43 52 54 55 PB 30
Probable number chain for 13 :: 13 41 52 54 55 PB 34
Probable number chain for 14 :: 14 41 52 54 55 PB 4
Probable number chain for 15 :: 15 41 51 52 54 PB 9
Probable number chain for 16 :: 16 41 52 54 55 PB 4
Probable number chain for 17 :: 17 43 51 52 54 PB 33
Probable number chain for 18 :: 18 41 52 54 55 PB 34
Probable number chain for 19 :: 19 41 52 54 55 PB 18
Probable number chain for 20 :: 20 41 48 52 54 PB 8
Probable number chain for 21 :: 21 43 51 52 54 PB 33
Probable number chain for 22 :: 22 43 52 54 55 PB 30
Probable number chain for 23 :: 23 41 52 54 55 PB 34
Probable number chain for 24 :: 24 41 52 54 55 PB 18
Probable number chain for 25 :: 25 50 52 53 54 PB 3
Probable number chain for 26 :: 26 41 52 53 54 PB 11
Probable number chain for 27 :: 27 43 52 54 55 PB 29
Probable number chain for 28 :: 28 41 52 54 55 PB 34
Probable number chain for 29 :: 29 41 52 54 55 PB 4
Probable number chain for 30 :: 30 43 52 54 55 PB 29
Probable number chain for 31 :: 31 43 52 54 55 PB 30
Probable number chain for 32 :: 32 41 52 53 54 PB 11
Probable number chain for 33 :: 33 41 51 52 54 PB 9
Probable number chain for 34 :: 34 41 51 52 54 PB 9
Probable number chain for 35 :: 35 41 51 52 54 PB 9
Probable number chain for 36 :: 36 43 52 54 55 PB 38
Probable number chain for 37 :: 37 43 52 54 55 PB 29
Probable number chain for 38 :: 38 41 51 52 54 PB 42
Probable number chain for 39 :: 39 41 52 54 55 PB 25
Probable number chain for 40 :: 40 43 51 52 54 PB 33
Probable number chain for 41 :: 24 41 52 54 55 PB 4
Probable number chain for 42 :: 41 42 52 54 55 PB 28
Probable number chain for 43 :: 41 43 51 52 54 PB 9
Probable number chain for 44 :: 41 44 51 52 54 PB 9
Probable number chain for 45 :: 41 45 52 53 54 PB 11
Probable number chain for 46 :: 41 46 52 54 55 PB 34
Probable number chain for 47 :: 41 47 52 54 55 PB 28
Probable number chain for 48 :: 41 48 52 54 55 PB 30
Probable number chain for 49 :: 43 49 51 52 54 PB 33
Probable number chain for 50 :: 41 50 52 53 54 PB 3
Probable number chain for 51 :: 41 51 52 54 55 PB 4
Probable number chain for 52 :: 43 51 52 54 55 PB 41
Probable number chain for 53 :: 41 52 53 54 55 PB 11
Probable number chain for 54 :: 41 51 52 54 55 PB 33
Probable number chain for 55 :: 43 51 52 54 55 PB 27
Probable number chain for 56 :: 41 52 54 55 56 PB 4
Probable number chain for 57 :: 43 52 54 55 57 PB 30
Probable number chain for 58 :: 43 52 54 55 58 PB 30
Probable number chain for 59 :: 41 52 54 55 59 PB 18

USING FIBONACCI SEQUENCE METHOD
Probable number chain for 1 :: 1 2 3 5 8 PB 13
Probable number chain for 2 :: 2 4 6 10 16 PB 26
Probable number chain for 3 :: 3 6 9 15 24 PB 39
Probable number chain for 4 :: 4 8 12 20 32 PB 13
Probable number chain for 5 :: 5 10 15 25 40 PB 1
Probable number chain for 6 :: 6 12 18 30 48 PB 9
Probable number chain for 7 :: 7 14 21 35 56 PB 17
Probable number chain for 8 :: 8 16 24 40 5 PB 1
Probable number chain for 9 :: 9 18 27 45 13 PB 6
Probable number chain for 10 :: 10 20 30 50 21 PB 11
Probable number chain for 11 :: 11 22 33 55 29 PB 16
Probable number chain for 12 :: 12 24 36 1 2 PB 3
Probable number chain for 13 :: 13 26 39 6 45 PB 6
Probable number chain for 14 :: 14 28 42 11 53 PB 14
Probable number chain for 15 :: 15 30 45 16 2 PB 18
Probable number chain for 16 :: 16 32 48 21 10 PB 31
Probable number chain for 17 :: 17 34 51 26 18 PB 5
Probable number chain for 18 :: 18 36 54 31 26 PB 18
Probable number chain for 19 :: 19 38 57 36 34 PB 31
Probable number chain for 20 :: 20 40 1 2 3 PB 5
Probable number chain for 21 :: 21 42 4 46 50 PB 7
Probable number chain for 22 :: 22 44 7 51 58 PB 12
Probable number chain for 23 :: 23 46 10 56 7 PB 17
Probable number chain for 24 :: 24 48 13 2 15 PB 17
Probable number chain for 25 :: 25 50 16 7 23 PB 30
Probable number chain for 26 :: 26 52 19 12 31 PB 4
Probable number chain for 27 :: 27 54 22 17 39 PB 1
Probable number chain for 28 :: 28 56 25 22 47 PB 8
Probable number chain for 29 :: 29 58 28 27 55 PB 16
Probable number chain for 30 :: 30 1 2 3 5 PB 8
Probable number chain for 31 :: 31 3 34 37 12 PB 10
Probable number chain for 32 :: 32 5 37 42 20 PB 3
Probable number chain for 33 :: 33 7 40 47 28 PB 8
Probable number chain for 34 :: 34 9 43 52 36 PB 13
Probable number chain for 35 :: 35 11 46 57 44 PB 18
Probable number chain for 36 :: 36 13 49 3 52 PB 13
Probable number chain for 37 :: 37 15 52 8 1 PB 2
Probable number chain for 38 :: 38 17 55 13 9 PB 22
Probable number chain for 39 :: 39 19 58 18 17 PB 35
Probable number chain for 40 :: 40 21 2 23 25 PB 9
Probable number chain for 41 :: 41 23 5 28 33 PB 22
Probable number chain for 42 :: 42 25 8 33 41 PB 2
Probable number chain for 43 :: 43 27 11 38 49 PB 10
Probable number chain for 44 :: 44 29 14 43 57 PB 4
Probable number chain for 45 :: 45 31 17 48 6 PB 9
Probable number chain for 46 :: 46 33 20 53 14 PB 14
Probable number chain for 47 :: 47 35 23 58 22 PB 19
Probable number chain for 48 :: 48 37 26 4 30 PB 34
Probable number chain for 49 :: 49 39 29 9 38 PB 8
Probable number chain for 50 :: 50 41 32 14 46 PB 7
Probable number chain for 51 :: 51 43 35 19 54 PB 15
Probable number chain for 52 :: 52 45 38 24 3 PB 27
Probable number chain for 53 :: 53 47 41 29 11 PB 1
Probable number chain for 54 :: 54 49 44 34 19 PB 14
Probable number chain for 55 :: 55 51 47 39 27 PB 1
Probable number chain for 56 :: 56 53 50 44 35 PB 5
Probable number chain for 57 :: 57 55 53 49 43 PB 10
Probable number chain for 58 :: 58 57 56 54 51 PB 15