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 What do you know about Bitcoin?? 
 After 10 years obsessively studying, and thousands of hours of podcast episodes, I'd say quite a lot. You have some questions? 
 My main question is I have some dust in a wallet. I have the keys to the wallet but you cant send the amount. Call it 100 sats idk

Would you buy this dust address? For say 10 sats hypothetically? You send me 1 sat even, over lightning and ill give you the seed phrase lol

Just hypotheticals is a dust wallet worth anything?? 
 Interesting question. No, unfortunately as fees rise, dust UTXOs become worthless. This is a very real and important issue that more people should be educating about. Consolidating UTXOs and being mindful of labeling their origin is good practice. 
 I think you're wrong. I know this because deep down i know i want that dust.

Can you sign a message that proves you hold the keys without having to send a transaction??

Maybe one day the mempool clears and i know a miner and he lets me send it for free?

I could sell my dust to a miner who holds it and will only ever send it if the mempool clears but when it does he can include it for free and he can send the 100 sats still 
 I understand your desire. You may be right in the eventual potential to do so there. It's plausible. 
 I love you bro (: