LEET MORE CTF 2010 write up - Lottery

This is the second and last challenge that I had time to play. I solved it :).

The challenge random 39 digits and give you a number of participant. You have to put the correct random number to win this lottery. When you put a wrong number, you get the correct random number.

I had put a lot of wrong number to see random numbers.
Here is the result when a number of participant is 391441 - 391447

756883670921640125823051707628843433985
756982681967192314311352115314173149185
757081693012744351683925071170856026113
757180704058296540172225478856185741313
757279715103848577544798434712868618241
757378726149400614917371390569551495169
757477737194952803405671798254881210369

Here is the result when a number of participant is 391449 - 391455

757675759286057029266545161796893802497
757774770331609066639118117653576679425
757873781377161104011691073510259556353
757972792422713745847173836681529786369
758071803468265329872564437052272148481
758170814513817971708047200223542378497
758269825559370009080620156080225255425

With these numbers, I saw a pattern. Let me added some white-spaces.

7568 83 670921640125823051707628843433985
7569 82 681967192314311352115314173149185
7570 81 693012744351683925071170856026113
7571 80 704058296540172225478856185741313
7572 79 715103848577544798434712868618241
7573 78 726149400614917371390569551495169
7574 77 737194952803405671798254881210369

See it? The first part (4 digits) is decreased by one. The second part (next 2 digits) is increased by one.

I also tried to make the next 2 digits as another part that is increased by one. But I saw

7576 75 759286057029266545161796893802497
7577 74 770331609066639118117653576679425

It is increased by 2.

Then I tried the diff of each digits in last part (last 33 digits). I found they (first 5 digits of last part) are changed like "(prev + x[i]) mod 10" or "(prev + x[i] +1) mod 10". It looks like a sum up of previous number. Then I tried to diff them.

681967192314311352115314173149185 - 670921640125823051707628843433985 = 11045552188488300407685329715200
693012744351683925071170856026113 - 681967192314311352115314173149185 = 11045552037372572955856682876928
704058296540172225478856185741313 - 693012744351683925071170856026113 = 11045552188488300407685329715200
715103848577544798434712868618241 - 704058296540172225478856185741313 = 11045552037372572955856682876928
...

I got about 4 numbers from diffing them. But there are only 2 that I got very often. They are

11045552188488300407685329715200 

and

11045552037372572955856682876928

.

Then, I used

11045552188488300407685329715200

as my magic number and used the pattern I found for guessing. After a few tries, I got

You are realy lucky!!
Congratulations!! You win, send this WMcode to your bank: "C988EC4DC91EA4864FAA6B7D65030961B218D19CD96CF29DE28166F59B606158"

I won the lottery ;)

When the game end, hellman told the solution in IRC. Here is what he said
"in lottery random number generator was seeded with number of participants, and word 'uniform' points to erlangs random uniform, so just use erlang to guess the number"