Infinitely reversible prime?

boggart0803 03 Feb 2009 17:43

I wonder whether there are infinitely many primes such that the reversal of it's digits produce a different prime.

For example, the reversal of $13$ is $31$, so $13$ is a reversible prime

The first 50 reversible primes are $13, 17, 31, 37, 71, 73, 79, 97, 107, 113, 149, 157, 167, 179, 199, 311, 337, 347, 359, 389, 701, 709, 733, 739, 743, 751, 761, 769, 907, 937, 941, 953, 967, 971, 983, 991, 1009, 1021, 1031, 1033, 1061, 1069, 1091, 1097, 1103, 1109, 1151, 1153, 1181, 1193$

It seems like there are infinitely many of them, but the proof seems very difficult:(