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Achieving awful compression with digits of pi

Compression is a really hard problem, and it attracts a lot of interesting ideas. There are some numbers whose digits contain all sequences of digits1. People have long hypothesized that pi is one such number; a proof remains elusive. If we have a number which contains all sequences of digits, could we transmit a message using that? Instead of telling my friend Erika the message, I could send her the offset and length in some number where that message occurs, then she could reconstruct the messa...

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