Prime with digits reversed is prime?

Well, just another idea came up into my mind and i have no idea how to solve it :D Is there infinitely many prime numbers, which are not repunits and their inverse is also prime? (For example, inverse of 31 is 13 which is also prime. i didn't have any other name to describe the function!) P.S:I now know they are called Emirps.

Solution 1:

Actually, it has a name and it's quaintly called an "emirp". (The word "prime" in reverse.) The link given is to the Online Encyclopaedia of Integers' list,

$13, 17, 31, 37, 71, 73, 79, 97, 107, 113, 149, 157, 167,\dots$

While there are an infinite number of primes, I believe it is an open problem if there is an infinite number of emirps.

P.S. Regarding terminology, given $x$, then its "multiplicative inverse" (or "reciprocal") is $1/x$. For functions, for ex, given $\sin(x)$, then its "inverse function" is $\arcsin(x)$.