Patterns in digits of π, e & √2
I have known even sophisticated mathematicians to seek patterns in transcendental numbers.
But radix 10 should have no special place in that quest.
Here are the digits of π, e & √2 in radixes 2 thru 36.
The precision is about 10–100.
The alphabet provides digits of weight more than 9, as in common hexidecimal.
Each radix in on a new line.
Here is the Algol 68 program that produced these values.
I used this compiler.
π in base 2 has 332 bits: there are only 142 1's.
The probability of as few as 142 1’s in 332 random bits is 0.0049 .
In e the ‘pattern’ 18281828459045 is suggestive.