Ramanujan's Approximations to Pi/Fourth Power of Pi

Approximation to Fourth Power of Pi by Srinivasa Ramanujan

$\pi^4 \approx 97 \dfrac 9 {22}$


Proof


This theorem requires a proof.
In particular: Follows by truncating just before the partial quotient $16539$ in the Continued Fraction Expansion of Fourth Power of Pi.
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Source of Name

This entry was named for Srinivasa Ramanujan.


Sources

  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $97 \cdotp 40909 \, 10340 \, 0 \ldots$
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