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 6E11.

Checked with PFGW v3.8.3 in odd prime bases up to 19:

lucasU(-824447297848,151^11,56087) is 3-PRP! (9988.9925s+0.0430s)

lucasU(-824447297848,151^11,56087) is 5-PRP! (10021.7217s+0.0421s)

lucasU(-824447297848,151^11,56087) is 7-PRP! (10025.8131s+0.0418s)

lucasU(-824447297848,151^11,56087) is 11-PRP! (10018.8392s+0.0489s)

lucasU(-824447297848,151^11,56087) is 13-PRP! (10014.7831s+0.0316s)

lucasU(-824447297848,151^11,56087) is 17-PRP! (9986.1864s+0.0401s)

lucasU(-824447297848,151^11,56087) is 19-PRP! (9937.3374s+0.0382s)

Also checked with Pari/GP v2.7.5 implementation of BPSW:

? t=lr(151,56087);

? length(digits(t))

%1 = 672156

? ispseudoprime(t)

time = 64h, 30min, 32,256 ms.

%2 = 1

To be completed...

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