The majority of the decimal expansion of this PRP has the pattern:
35790975303579097530...

PFGW Version 1.2.0 for Windows [FFT v23.8]

Primality testing 3579097530*(10^(10*1001)-1)/(10^10-1)+6587
[N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 5, base 5+sqrt(5)
Running N+1 test using discriminant 5, base 6+sqrt(5)
3579097530*(10^(10*1001)-1)/(10^10-1)+6587 is Fermat and Lucas PRP!

To be completed...