PRP Records

(1744*10^39780-1747)/3



Three irregular near-repdigits - in the process of being proven by CHG method (which will take time).
They have >99.98% consecutive repeated decimal digits and a 26-27% factored N+1.

Primality testing 7536*10^44100-7537 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Reading factors from helper file helper
trial factoring to 14194578
Running N-1 test using base 5
Running N-1 test using base 17
Running N+1 test using discriminant 23, base 1+sqrt(23)
Calling N+1 BLS with factored part 27.67% and helper 0.00% (83.02% proof)
7536*10^44100-7537 is Fermat and Lucas PRP! (1137.7600s+0.0013s)

Primality testing 9436*10^44100-9437 [N-1/N+1, Brillhart-Lehmer-Selfridge]
trial factoring to 14194682
Running N-1 test using base 2
Running N+1 test using discriminant 5, base 1+sqrt(5)
Calling N+1 BLS with factored part 27.67% and helper 0.02% (83.03% proof)
9436*10^44100-9437 is Fermat and Lucas PRP! (1055.7720s+0.0013s)

To be completed...




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