Found with PFGW Version 3.6.0

2084^4011-4011^2084 is 2-PRP! (7.4592s+0.0020s)
2084^4011-4011^2084 is 3-PRP! (7.5163s+0.0018s)
2084^4011-4011^2084 is 5-PRP! (7.5052s+0.0018s)
2084^4011-4011^2084 is 7-PRP! (7.4740s+0.0018s)
2084^4011-4011^2084 is 11-PRP! (7.4386s+0.0021s)

Primality testing 2084^4011-4011^2084 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 37, base 1+sqrt(37)
Calling N+1 BLS with factored part 0.08% and helper 0.02% (0.27% proof)
2084^4011-4011^2084 is Fermat and Lucas PRP! (38.6947s+0.0033s)

To be completed...