Used Multifactor (a modified version of Multisieve) to sieve.

Then pfgw.

(37398!11-1)/(11^3) is 3-PRP! (302.956000 seconds)

(37398!11-1)/(11^3) is 7-PRP! (271.510000 seconds)

(37398!11-1)/(11^3) is 11-PRP! (270.499000 seconds)

(37398!11-1)/(11^3) is 17-PRP! (260.825000 seconds)

(37398!11-1)/(11^3) is 37-PRP! (280.013000 seconds)

Primality testing (37398!11-1)/(11^3) [N-1/N+1, Brillhart-Lehmer-Selfridge]

Calling N+1 BLS with factored part 0.03% and helper 0.02% (0.11% proof)

(37398!11-1)/(11^3) is Fermat and Lucas PRP! (1532.874000 seconds)

To be completed...