I would very much like to see the proof regarding the necessity of the Laws of Thermodynamics to be broken in order to brute force a 256-bit key. Is there any link of such proof? I'm a bit concerned about the use of energy to do the calculations.

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I used that image on a thread of mine:
There are 2^256 private keys out there: how big is that number?The tread explain how it is diffcult to brute force a number so big.
I would very much like to see the proof regarding the necessity of the Laws of Thermodynamics to be broken in order to brute force a 256-bit key. Is there any link of such proof? I'm a bit concerned about the use of energy to do the calculations.
No need to brute force: it is out there on
keys.lol