3

Part of 2015 MMATHS

Problems(1)

2015 MMATHS Tiebreaker p3 - can first three digits of n\pi are .001 ?

Source:

Is there a number

s

\{\pi,2\pi,3\pi,...,\}

such that the first three digits after the decimal point of

s

.001

? Fully justify your answer.

number theoryMMATHSalgebra