The majority of the decimal expansion of this PRP has the pattern:
2357075320235707532023570...

PFGW Version 1.2.0 for Windows [FFT v23.8]

Primality testing 2357075320*(10^(10*1003)-1)/(10^10-1)+567
[N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 19, base 1+sqrt(19)
2357075320*(10^(10*1003)-1)/(10^10-1)+567 is Fermat and Lucas PRP!

To be completed...