Arima Yoriyuki (?? ??, December 31, 1714 – December 16, 1783) was a Japanese mathematician of the Edo period.
He was the lord of Kurume Domain.
He approximated the value of
p
{\displaystyle \pi }
and its square,
p
2
{\displaystyle \pi ^{2}}
.
In 1766, he found the following rational approximation of pi, correct to 29 digits:
p
˜
428224593349304
136308121570117
=
3.14159265358979323846264338327
(
569...
)
{\displaystyle \pi \approx {\frac {428224593349304}{136308121570117}}=3.14159265358979323846264338327(569...)}