Found with PFGW Version 3.7.5

1783^8958-8958^1783 is 2-PRP! (15.3638s+0.0012s)
1783^8958-8958^1783 is 3-PRP! (15.3262s+0.0012s)
1783^8958-8958^1783 is 5-PRP! (15.2855s+0.0011s)
1783^8958-8958^1783 is 7-PRP! (15.3371s+0.0012s)
1783^8958-8958^1783 is 11-PRP! (15.3651s+0.0011s)

Primality testing 1783^8958-8958^1783 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 8+sqrt(13)
Calling N-1 BLS with factored part 0.03% and helper 0.01% (0.11% proof)
1783^8958-8958^1783 is Fermat and Lucas PRP! (76.7187s+0.0020s)

To be completed...