RSA-896
82
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It's actually subexponential: https://en.wikipedia.org/wiki/General_number_field_sieve?wpr...
Though, it would make more financial sense to mine crypto.
There is cost, but the cost is mostly the opportunity cost of not being able to do something else.
I don't have any insight on modern GPU datacenters, but in decades past, some owned and operated datacenters didn put effort into making sure power management worked because the cost savings were worth it. I'm pretty sure I saw plans to shed load and power off servers if a utility made a demand response request or in case of loss of cooling. I wouldn't be surprised if some owned and operated data centers do regular full shutdowns at off peak... WOL, IPMI or RTC wakeup can bring them back when needed and if you already have a dynamic service orchestrator and setup times are acceptable, why not shut down if there's no actual priority work and there's also no idle priority opportunistic load either...
That's entirely why they can blow compute on the fun projects like this. If they had to pay extra for the electricity, they wouldn't do it.
GPUs are power-inefficient for mining most crypto so not necessarily. You may end up paying more in electricity than you are able to mine.
Most crypto mining is on ASICs now.
https://privatekeys.pw/puzzles/bitcoin-puzzle-tx
If you break one though be careful when redeeming it, there are bots set up to pounce and steal the coins when they are transacted because the reduced entropy makes that possible. You need to submit the transaction to a mining pool that will not broadcast it until it is mined.
the script could have been designed 2 phase, so one first submits a hash of the solution & submitter address, so even if miners front-run the submitter, they just helpfully pay the transaction fee!