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# The distribution of pi

## Question

Are the digits that represent pi (e.g. 3.1415926....) a uniform distribution?

What if we examine pi in base 2, is it a uniform distribution?

Edited by BMAD

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statistically it is uniform.

# 1000 places of Pi

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989

1=116, 2=103, 3=103, 4=93, 5=97, 6=94,7=95, 8=101, 9=106, 0=93  total digits 1001

Also for base2, 100008 first digits, have 50052 1

Edited by jasen
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It's an open question among mathematicians.
Such numbers are called regular numbers.
There is no easy way to prove or disprove.

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