Found with PFGW Version 3.7.5

1862^7381-7381^1862 is 2-PRP! (30.1430s+0.0050s)
1862^7381-7381^1862 is 3-PRP! (30.8619s+0.0061s)
1862^7381-7381^1862 is 5-PRP! (33.2643s+0.0049s)
1862^7381-7381^1862 is 7-PRP! (30.1369s+0.0048s)
1862^7381-7381^1862 is 11-PRP! (30.5946s+0.0057s)

Primality testing 1862^7381-7381^1862 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 11
Running N+1 test using discriminant 17, base 1+sqrt(17)
Calling N+1 BLS with factored part 0.06% and helper 0.03% (0.21% proof)
1862^7381-7381^1862 is Fermat and Lucas PRP! (186.5737s+0.0071s)

To be completed...