No prize, just a sequence

[Gomez]

What two numbers complete this sequence?

10011, 212, 104, 43, 34, ??, ??

[groza528]

I think that '104' should be a '102?'
That would yield for the next two: 30, 29

[groza528]

You replied to the other one (Kentucky Fried)
Does that mean I'm wrong? It works too well though

[Gomez]

Well, as far as I can tell 104 is right (maths isn't really my strong point though so you could be right). If you explain your answer I can confirm it.

[groza528]

I had the right premise but made a careless mistake. You were right corrected answer with explanation below.
Each number is in a different base. The bases are consecutive prime numbers. The first number, binary, equals the decimal answer 19 (2^4+2^1+2^0). 212, base 3, is equal to 18+3+2, 23. 104, base 5, would be 29 in base 10, followed by 43 base 7, or 31. 34 base 11 gives 35 base ten.
Actually it doesn't, it gives 37. Can't believe I didn't notice that before, guess you're right about 104. I thought they kept increasing by 4, but now I realize they're also consecutive primes. That means I need to change my answer.
The next to are 41 and 43, in bases 13 and 17. That would be 32, 29.

[CrystyB]

Groza, the least you could do is post your ANSWERS visible... Kudos for finding such a beautiful solution!!!

[Gomez]

Nicely done groza