PRP Records

Tau(229^63498)



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 8E11.

Checked with PFGW v3.7.10 in odd prime bases up to 19:
lucasU(-11824411223170,229^11,63499) is 3-PRP! (17360.8313s+0.0945s)
lucasU(-11824411223170,229^11,63499) is 5-PRP! (16656.9051s+0.1173s)
lucasU(-11824411223170,229^11,63499) is 7-PRP! (17367.9027s+0.0892s)
lucasU(-11824411223170,229^11,63499) is 11-PRP! (16657.3641s+0.0895s)
lucasU(-11824411223170,229^11,63499) is 13-PRP! (17362.2366s+0.0926s)
lucasU(-11824411223170,229^11,63499) is 17-PRP! (17374.0028s+0.0900s)
lucasU(-11824411223170,229^11,63499) is 19-PRP! (16657.2993s+0.1075s)

Checked with Pari/GP v2.7.5 implementation of BPSW.
Computation time: 103h


To be completed...




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