The first example normal number that has been produced. It was discovered by David Champernowne at Cambridge University, a friend of Alan Turing's. It goes:


More precisely, write down a decimal point, then write the numbers 0,1,2,3,4,5,6,7,8,9 then 10,11,12,13,14,15..., till you reach 99, then you write 100,101,... and go on this way forever.

Champernowne showed it is a normal number in base 10 and only in base 10. In base 10, each possible digit from 0-9 occurs exactly 10% of the time in the limit, each two-digit block exactly 1% of the time, each three-digit block 0.1% of the time, and so forth.

It's still an open question as to what happens to Champernowne's number when it is expressed in other bases.

Log in or register to write something here or to contact authors.