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Has been covered a lot in the existing threads. Cryptography comes to mind.
edit:
https://bitcointalksearch.org/topic/m.2683401
Topic: [XPM] So what to do with these chains that Primecoin generates? (Read 641 times)
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There are claims that Primecoin is "scientifically relevant" and mining it certainly generates something more useful that all the other coins. But what can we really do with these prime chains except breaking records? Has anyone gathered some applications or use cases for these prime chains? I think that it would help Primecoin a lot if someone could demonstrate the usefulness of the generated chains in a practical matter...
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