Which means that 11^2 = 121 in all bases
-
-
-
Doesn't work base 2.
- 1 more reply
New conversation -
-
-
In general, in any base large enough to have the binomial coefficients as digits, the following sequence of digits is never a primepic.twitter.com/HQ4degCcCr
-
Very interesting!
End of conversation
New conversation -
-
-
Beautifully elegant proof.
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
-
-
"for which 1 and 2 are valid digits"...
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
-
-
I remember a similar problem in the greek student math competition back in my high-school years: Prove that 131 is not a perfect square in any base b>=4.
-
It's between 121 and 144?
- 1 more reply
New conversation -
-
-
Isn't primeness base-independent? It just depends on multiplication, which isn't a based binary operation...
-
Yeah but it’s not the same number, just the same sequence of digits in different bases e.g. 10 in base 2 is prime, but 10 base 10 isn’t.
- 1 more reply
New conversation -
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.