u/Plus-Switch-4615

i hope its okey to ask here.
so i‘m looking for a set with the same properties as the famous 37 and 73 (12th and 21st prime number).
i wrote a code that calculates if such a set exists up to a number n. however i couldnt find another set as calculating for large n takes longer than i will live with my code.
i believe i could write an more efficient code (for example taking into account that those emirp number sets have a difference of a multiply of 18) however i doubt it would work with my computer.
i tried researching it and couldn’t find anything & would be really interested if anyone knows more about this problem!

for example 37 und 73, they are both prime numbers & 37 mirrored is 73. 37 is the 12th prime number and 73 is the 21st prime number. 12 mirrored is 21.

i‘m looking for another set (or a proof there doesnt exist another pair).

i couldnt find something in the internet. thanks in advance!