Most impressive/complex/amazing C-series program?

[Valentin Albillo]

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Hi, EdS2:

(04-15-2018 09:51 AM)EdS2 Wrote:  

(04-14-2018 03:09 PM)Gerson W. Barbosa Wrote:  \(\frac{\rm{\pi}+{\rm{\pi}}^{2}+{\rm{\pi}}^{3}+{\rm{\pi}}^{4}-{\left({2}^{6}+{2}^{7}\right)}^{-1}}{\sqrt{2}}=100.0000001402465\)

The near-integer result above might be just a coincidence, though.

Remarkable. Wolfram Alpha offers
45/2 - 53/(4 π) - 18/sqrt(π) + (23 sqrt(π))/4 + 26 π≈100.000000140246501794
which is, I guess, the same number. [Edit: no, it's different]

Indeed they're different:

    (\(\pi+\pi^2+\pi^3+\pi^4-(2^6+2^7)^{-1})/\sqrt{2}\) = 100.000000140246548564343[...]

45/2-53/(4\(\pi\))-18/\(\sqrt{\pi}\)+23\(\sqrt{\pi}\)/4+26\(\pi\) = 100.000000140246501794052[...]

Wolfram Alpha's attempt is very poor as it uses far too many digits (13, plus 4 instances of \(\pi\)) and operations (again, 13) to get a mere 9 digits, "100.000000".

V.
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