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It's a broad idea to construct a secure PoW, with all that's required to make it secure, but to try and make it applicable to areas like number theory. See Prim
by man-and-laptop 8y ago
It's a broad idea to construct a secure PoW, with all that's required to make it secure, but to try and make it applicable to areas like number theory. See PrimeCoin for a successful example.
Also your concerns are unfounded: See Namecoin and Primecoin. I'm thinking these two ideas could be combined.