Found with PFGW Version 3.6.0

1800^3661-3661^1800 is 2-PRP! (5.7171s+0.0017s)
1800^3661-3661^1800 is 3-PRP! (5.7820s+0.0018s)
1800^3661-3661^1800 is 5-PRP! (5.6765s+0.0016s)
1800^3661-3661^1800 is 7-PRP! (5.8008s+0.0018s)
1800^3661-3661^1800 is 11-PRP! (5.6952s+0.0031s)

Primality testing 1800^3661-3661^1800 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 13
Running N+1 test using discriminant 23, base 1+sqrt(23)
Calling N+1 BLS with factored part 0.06% and helper 0.05% (0.23% proof)
1800^3661-3661^1800 is Fermat and Lucas PRP! (33.5829s+0.0029s)

To be completed...