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Jan 7, 2015 at 19:11 comment added Tito Piezas III Thanks. I've elaborated on my question in an answer/comment: mathoverflow.net/a/193394/12905
Jan 7, 2015 at 7:09 comment added j.c. I didn't mean to say that any of the above is obvious, but actually rather hoped to prod you to sharpen your question a bit.
Jan 6, 2015 at 23:22 comment added Tito Piezas III Not dissatisfying, but the connection to black holes and why $e^{\pi\sqrt{163}}$ is a near-integer doesn't seem to be immediately obvious, don't you think? In fact, as pointed out by some comments, the relation $a \approx b$ or $\log(196883) \approx 4\pi$ is beneath notice, let alone somehow related to quantum gravity.
Jan 6, 2015 at 22:26 history answered j.c. CC BY-SA 3.0