Took a sample of past mega lottery results (from 06/17/2008 to present) and ran it thru modified version of superfractal.cpp to analyze how well predictions perform when made from numbers selected from those that occur on the frequency/number boundries.

Initially, frequency number transitions will be far to few to yield any useful data, soon enough a certain "spike" occurs (after around 40 draws or so) and some draws start to match upwards of 3 numbers (from 25) ie: Matched [For Date]: 11/21/2008 56 56 01 52 52 [Total = 5] below: (3 because of duplication which could be telling by itself, but there are other examples with higher number of hits)

Draw Sequence: 45 -----------------------------------------------------------

Draw 11/18/2008 10 15 22 52 53 +12 $0.00

Number/Frequency (Sorted by Frequency)

Number     04 37 54 56 03 08 26 31 33 40 45 07 10 11 12 18 20 21 27 44
Frequency 00 00 01 01 02 02 02 02 02 02 02 03 03 03 03 03 03 03 03 03

Number     46 47 48 49 05 06 24 28 30 38 50 53 55 01 15 16 17 25 29 32
Frequency 03 03 03 03 04 04 04 04 04 04 04 04 04 05 05 05 05 05 05 05

Number     34 35 43 02 09 13 19 22 23 36 39 41 51 42 52 14
Frequency 05 05 05 06 06 06 06 06 06 06 06 06 06 07 08 09

Predictions made on: 11/18/2008 for the next draw: 04 37 37 54 56 56 03 08 45 07 10 49 05 06 55 01 15 43 02 09 51 42 52 52 14 [25 Numbers]

Matched [For Date]: 11/21/2008 56 56 01 52 52 [Total = 5]

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It is my intent to elaborate further on this data, it would be nice to have done some reduction in the game such as limiting pool of numbers to 25 as in the example above.

Fractal dimension of such frequency/number transition is of big interest as well, to some extent I see these frequency boundries as fundamental to random evolution in this (and other games).

For full data files (output from superfactal.cpp) see

References:

1. https://members.lotterypost.com/edge/programs/doc/mega_small.txt  small (truncated output without frequency tables) containing frequency/number predictions

2. https://members.lotterypost.com/edge/programs/doc/mega_large.txt  large (full output including frequency tables) containing frequency/number predictions