Base Prime

[os]

Something that's fun to do is to write numbers in "base prime," in which the digits are the factors: base-10 factorization base-P 1 10 2 21 3 310 4 2 22 5 5100

Comments

[andytuba]

Can one differentiate between the decimal numbers 0 and 1 in base P?

[os]

0 is not-a-number in base P, as far as I know... sort of like an infinity.
You can, of course, use a limit to get to it, though.
If you have a "negative digit", for example, {2,0,-3}, you would have 5^2*3^0*2^-3 = 25/8.
So, lim[k->Inf](P{-k}) = 0.

[furrybluetroll]

what's 2^10?

[os]

Hmm, you mean 2p mul'd 3p times? In other words, 4 mul'd thrice?
Well, 2p is the identity function, so it'd just be 2p...
I'm guessing you meant something else, though---clarify?

[os]

Err, 2d is the identity function. Hmm. 2p is 4d, and 10p is 3d. If you mean 2p mul'd 10p, that's 20p, which is 9d...

[os]

Also, if you meant 4d mul 4d mul 4d (2p ^ 10p), that's 8p, which is 256d

I haven't been awake very long, excuse my stumbling-abouts ;P