Found with PFGW Version 3.8.0

536^29847+29847^536 is 2-PRP! (142.0701s+0.0048s)
536^29847+29847^536 is 3-PRP! (146.8820s+0.0051s)
536^29847+29847^536 is 5-PRP! (140.0391s+0.0049s)
536^29847+29847^536 is 7-PRP! (138.4160s+0.0050s)
536^29847+29847^536 is 11-PRP! (138.9188s+0.0060s)

Primality testing 536^29847+29847^536 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N-1 BLS with factored part 0.00% and helper 0.00% (0.01% proof)
536^29847+29847^536 is Fermat and Lucas PRP! (700.9125s+0.0045s)

To be completed...