Let:
((3!)!)!
-------- = k*N!
3!
Find the value of k+N.
Any N below 720 will do, with some entailing a rather large k.
The few with k reasonably small:
showing k, N, k+N
[5860168942405919760639820800, 710, 5860168942405919760639821510]
[8242150411260084051532800, 711, 8242150411260084051533511]
[11576053948398994454400, 712, 11576053948398994455112]
[16235699787375868800, 713, 16235699787375869513]
[22739075332459200, 714, 22739075332459914]
[31802902562880, 715, 31802902563595]
[44417461680, 716, 44417462396]
[61949040, 717, 61949757]
[86280, 718, 86998]
[120, 719, 839]
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Posted by Charlie
on 2023-05-25 13:57:59 |
some more
