Factorizatons of N-1, N and N+1

 912 = 2.2.2.2.3.19
 913 = 11.83
 914 = 2.457

 150267335402 = 2.157.478558393
 150267335403 = 3.47.89.563.21269
 150267335404 = 2.2.1609.23347939

 430558874532 = 2.2.3.3.11959968737
 430558874533 = 75913.5671741
 430558874534 = 2.197947.1087561

 14760229232130 = 2.3.5.107.53569.85837
 14760229232131 = 2467.5983068193
 14760229232132 = 2.2.3690057308033

 936916995253452 = 2.2.3.37.41.1109.46409057
 936916995253453 = 2027.21521.21477559
 936916995253454 = 2.389.15313.78643211

Soln to (2) for N = 913, D,P,Q = 5 5 5, u=339, v=10
Soln to (2) for N = 150267335403, D,P,Q = 5 5 5, u=8937445494, v=10
Soln to (2) for N = 430558874533, D,P,Q = 5 5 5, u=145434121402, v=10
Soln to (2) for N = 14760229232131, D,P,Q = -7 1 2, u=2171171718091, v=4
Soln to (2) for N = 936916995253453, D,P,Q = 5 5 5, u=874939576311379, v=10