613 is an amusing curio; 613 is prime, rotate first digit to end: 136 is triangular, rotate again: 361 is square.

PFGW Version 1.2.0 for Windows [FFT v23.8]

Primality testing 2^180014+613 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 5, base 4+sqrt(5)
Running N+1 test using discriminant 5, base 5+sqrt(5)
2^180014+613 is Fermat and Lucas PRP!

To be completed...