2 - 134842    1s  14e5 perms.
3 - 114847    23s 30e6 perms.
4 - 102428    4m  .5e9 perms. 
5 -  99505    15m  5e9 perms.
6 -  99056 1h 53m 30e9 perms.
7 -  92705 4h  7m 69e9 perms.