Found with PFGW

(7^17841)-(17841^7)+(7*17841) is 2-PRP! (19.5176s+0.0023s)
(7^17841)-(17841^7)+(7*17841) is 3-PRP! (19.6661s+0.0023s)
(7^17841)-(17841^7)+(7*17841) is 5-PRP! (19.5393s+0.0023s)
(7^17841)-(17841^7)+(7*17841) is 7-PRP! (19.5053s+0.0023s)
(7^17841)-(17841^7)+(7*17841) is 11-PRP! (19.3734s+0.0023s)


Primality testing (7^17841)-(17841^7)+(7*17841) [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 17, base 3+sqrt(17)
(7^17841)-(17841^7)+(7*17841) is Fermat and Lucas PRP! (103.0866s+0.0040s)

To be completed...