Saint Patrick - Another Prime Day

(Image: By Internet Archive Book Images -  https://archive.org/stream/irelandscrownoft00ryan/irelandscrownoft00ryan#page/n61/mode/1up, No restrictions, https://commons.wikimedia.org/w/index.php?curid=41964622)

A recent post about Julius Caesar introduced the concept of Caesar Primes. Caesar's birthday is the 13th of July (the 7th month), and 137 is a prime number. As we celebrate Saint Patrick's Day on March 17, we note that 317 and 173 are prime numbers. Perhaps this suggests a sequence of primes similar to the Caesar Primes. Other pairs of primes formed by two primes include: {37, 73}, {113, 311}, {313,331},{337,733}, {359,593}...

Update 4/8/2025. I submitted a proposed sequence to the On-Line Encyclopedia of Integer Sequences (OEIS). It is currently under review as https://oeis.org/draft/A380943, Primes written in decimal representation by the concatenation of primes p and q such that the concatenation of q and p also forms a prime.

The sequence begins: 37, 73, 113, 173, 197, 311, 313, 317, 331, 337, 359, 367, 373, 593, 617, 673, 719, 733, 761, 797, 977, 1093, 1097, 1123, 1277, 1319, 1361, 1373, 1783, 1913, 1931, 1979, 1997, 2293, 2297, 2311, 2347, 2389, 2713, 2837, 2971, 3109, 3119, 3137, 3191, 3229, 3271...