total possible puzzles (2)
And here's the answer!
Johnny did it! He finally had some success! (He didn't really: it was me!)
Logical. Tested. Easy.
For those wondering, the exact number is:
139 234 646 287 990 226 741 709 129 157 913 532 552 221 620 002 877 836 183 850 139 157 319 162 494 713 813 468 287 180 867 562 169 562 865 101 794 357 348 681 937 944 892 462 440 358 383 855 189 589 465 387 919 662 128 218 563 740 584 430 410 924 032
When we start reaching around 1% of the number above, there probably will be a fairly high chance of puzzles being repeated. But since even 0.0000000001% will still be a power of 179, I don't think there's much chance of that happening in our lifetime...
Or in our great, great, great, great, great, great grandchildren's lifetime!! ;)