Found with PFGW Version 3.6.0

1409^4598-4598^1409 is 2-PRP! (9.8836s+0.0019s)
1409^4598-4598^1409 is 3-PRP! (9.8707s+0.0021s)
1409^4598-4598^1409 is 5-PRP! (9.8664s+0.0019s)
1409^4598-4598^1409 is 7-PRP! (9.8602s+0.0033s)
1409^4598-4598^1409 is 11-PRP! (9.8874s+0.0019s)

Primality testing 1409^4598-4598^1409 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N-1 BLS with factored part 0.04% and helper 0.02% (0.14% proof)
1409^4598-4598^1409 is Fermat and Lucas PRP! (46.4429s+0.0021s)

To be completed...