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00:00
@Deadcode Let A=p^n. Suppose B'>B and C=A (mod B'-1). Since B'>B, it must have p as a factor, so A and B'-1 are coprime. Now we can divide by A: B=1 (mod B'-1). But B'>B, so B=1.
I feel like all of these questions could be easily answered with the use of a couple of carefully chosen Lemmas. But I just do whatever I first think of when I see the problem
00:22
@H.PWiz How do you get that "Since B'>B, it must have p as a factor"?
Well when A gets smaller, it can't keep all of its ps
Ah right
00:50
@H.PWiz There's something wrong here. B=1 is not always true.
The whole beauty of the A=p^n thing is that it lets you have any quotient.
Oh
After supposing B'>B?
I see what you're saying
it's a contradiction
proof by contradiction
Awesome, thanks!
 
6 hours later…
06:26
@H.PWiz This new second shortened form of division has let me golf 9 bytes off "shift right by half a bit"... and that may just be the beginning. Haven't yet looked through the whole thing for opportunities.
 
8 hours later…
14:40
Cool! I suppose it's not so common to divide by big numbers in regex.
 
3 hours later…
17:49
@H.PWiz It's saving 141 bytes on Shift right by half a bit!

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