What does this mean about the size (and thus feasibility) of a circuit required to factor a cryptographically interesting number, say, to be generous, RSA1024?
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In addition, selling information to a government on how to break either system would be more valuable than the amount of bitcoin you would able to sell before exchanges stop accepting deposits or the price crashes.
They would probably kill you so you couldn't tell others.
If a government can break crypto, that's worth more than money. Especially if it can remain peerless and undetected.