The reality is you have absolutely no fact to back up your lower bound except a grand conspiracy theory. Stick with math your work there is much better. This is just sad.
Why you qualify with your emotions, such as "sad" something that has nothing to do with that ?
I'm doing archaeology. I'm trying to collect facts, as accurate as possible, from people and the block chain.
If I make mistakes, I correct them and keep going.
And until now, I cannot solve the puzzle of how the first 100 blocks were mined. Some pieces are missing, and I'll keep searching!
The best explanation I've been given by DeathAndTaxes and that is Satoshi did not mined block 1 (but he did mined block 0).
(and that explanation has some very strong problems, such as why the PC performance, extrapolated from PoW the block 0 hash and the block 1 hash agree with such good precision, suggesting a link)
So maybe Satoshi is now very poor, and he's singing songs with his guitar in the subway to pay the rent.

PS: I worship Satoshi, so I will never be against him!
Satoshi deserves every penny for inventing Bitcoin. If he is rich, then great.
If his is poor, then we might start a donation campaign to buy him cloths and meals...
I openly offer him to stay in my house if he has no place to live...