Positive PRP value of the Ramanujan Tau function.
Number of the form Tau(p^(q-1)), where p,q are odd primes.

Trial divided up to 1E12.

Checked with PFGW v3.7.10 in odd prime bases up to 19:
lucasU(-996774496018,181^11,72559) is 3-PRP! (25381.1859s+0.0515s)
lucasU(-996774496018,181^11,72559) is 5-PRP! (25388.6628s+0.0516s)
lucasU(-996774496018,181^11,72559) is 7-PRP! (23102.2735s+0.0515s)
lucasU(-996774496018,181^11,72559) is 11-PRP! (25285.4873s+0.0523s)
lucasU(-996774496018,181^11,72559) is 13-PRP! (25386.9333s+0.0520s)
lucasU(-996774496018,181^11,72559) is 17-PRP! (25113.4400s+0.0521s)
lucasU(-996774496018,181^11,72559) is 19-PRP! (23125.1314s+0.0515s)

Checked with Pari/GP v2.7.5 implementation of BPSW.
Computation time: 123h

To be completed...