Assuming perfect RNG, a golden cookie would spawn every 300 seconds, and give the player Lucky each time, which will give them 13 cookies every single time no matter how many cookies the player has, due to how the Lucky award system works. You could do this for an insanely long time, and after clicking a golden cookie 76924 times, you would reach the 1 million cookie goal. So how long would that take? Well, 300x76924=23077200 (that being the second count), and 23077200 seconds in comprehendible time is 267 days, 2 hours, 34 minutes and 4 seconds.
oh wow, nice maths yea it is def posible taken that golden cookies can give cookies indeed, the average time of cookie is around 7 minutes and 28,5 seconds, so if getting a lucky cookie is around a 45% chance of happening here average time kinda multiplies by more than 3 l getting every golden cookies for more than 2 years straight XD
average cookie spawn time is 600 seconds (directly down the center between Tmin and Tmax) and the chance of Lucky appearing is between 37.7% and 42.2% so lets just average that out to 40%. So if we take exact average RNG for both cookie spawns and lucky rates, it would take 3 years, 237 days, 11 hours and 40 minutes.
Christmas mode would spawn reindeer also -- giving more cookies. Reindeer give 25 cookies initially and spawn every 234 seconds. That gives 7.7 cookies per minute average. Would take about 90 days. So say a 3 month run. It's also possible that reindeer might give even more cookies during frenzies. However, I based on what the wiki says, we would need at least 1 building for any improvement (for instance, I think owning a single cursor would mean reindeers give 42 cookies during a frenzy).
THERE IS A WORKAROUND. If we allowed just upgrades and manual clock setting, Easter mode has a rare drop that simply gives +9 CpS. With that in place, clicking a reindeer during a frenzy would give 3780 cookies. Given frenzy would be in effect on average 7% of the time (= 40% x 17%), reindeer would generate 68 cookies per minute. And the game would be generating even more; 769 cookies per minute. So if I managed to do the math correctly, this run would take 19 hours AFTER getting the +9 CpS cookie. But I suspect it would take way longer to get the +9 CpS drop. In conclusion: True Neverclick No Buildings (TNNB) might be possible in practice.
