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Probabilistic number generation

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I had this idea the other day but am wondering how to generate a wordlist/pipe it into hashcat.

Let's say you have a series of hashes, all of which have a 10 digit number as the input. Assuming the numbers are randomly generated, the probability of a single digit being 0-9 is 1/10. The probability of two of the same digits next to each other is 1/100, 3 digits is 1/1i000, and so on.

I first though permute could do this. While it generates all the permutations of 1234567890 just fine, there are duplicates when repeating one of the numbers(eg. 1224567890). If all 90+1 permutations for no repeating digits+1 repeating digits are calculated, that's 3.3 billion, clearly far too many duplicates.

My question is basically, any way to generate numbers where the least repeated digits are generated first?

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