PD: Note that I am not trying to hack or do illegal things or steal funds from people's wallets. I want to know when it is said: BTC is safe, how safe it is. My intention is to search for 100% random keys until one matches an address. from btc.txt, whether or not you have a balance, having more than 1 transaction is enough
It doesn't matter what your intentions are, even if you were trying to rob all bitcoiners of their coins, nobody would touch you, actually they would gladly help you through the process, because as you mentioned, puzzle keys are extremely small compared with actual randomly generated keys holding people's funds, to give you something for understanding, just imagine the entire universe and all it's atoms, now all the 160 puzzle keys combined can only occupy something around 1/89th of earth.
Ever since 2015, we are stuck at puzzle 66, you should double the key space size each bit you go up.
If you have been reading these topics for the past few month, you should already know about the size of 2^256.
I just want to save your time, don't bother searching because you will not find a single match, you'd have a chance to win in lottery 1000 times in a row in your life time, but finding a single match? Not a chance. To test your luck just go buy lottery ticket.
However, there is a +$25m prize, almost as 25 nobel prizes ready for grab, if anyone in the world claims they can hack bitcoin keys, they should try these legitimate puzzles because they are the easiest ones.
A few month from now, I will see you with an electricity bill in your hands.😉