Found with PFGW Version 3.6.0

4664^9007-9007^4664 is 2-PRP! (50.5934s+0.0028s)
4664^9007-9007^4664 is 3-PRP! (50.3841s+0.0026s)
4664^9007-9007^4664 is 5-PRP! (50.6303s+0.0039s)
4664^9007-9007^4664 is 7-PRP! (50.3229s+0.0026s)
4664^9007-9007^4664 is 11-PRP! (50.5953s+0.0028s)

Primality testing 4664^9007-9007^4664 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 37, base 1+sqrt(37)
Calling N+1 BLS with factored part 0.03% and helper 0.01% (0.10% proof)
4664^9007-9007^4664 is Fermat and Lucas PRP! (247.8833s+0.0046s)

To be completed...