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Science Porn
RE: Science Porn
(3rd September 2016, 18:24)Alex K Wrote:
(3rd September 2016, 18:03)pocaracas Wrote: [Image: 14237652_334862676860960_177559310827489...e=5846387E]

Seems unlikely Smile

pi^pi^pi sure isn't...

I tried putting it into my calculator...

[Image: 84b64f04ef55f435c52183e8b8c034de1f360725...3d4c_1.jpg]
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Consider me a satellite forever orbiting,
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RE: Science Porn
For three pi-s, you get a number around 10^18, simple pocket calculators probably don't do that, but advanced programmable ones might... For four pi-s however, you get pi to the power of that number, i.e. roughly 10^18 digits. You'd need an absurd amount of memory just to store the result, let alone do the calculation.
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition

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RE: Science Porn
Of the top of my head... 3^3 is 27.
27^3 is (ok...calculator....) 19683... So pi^pi^pi should be close to this...around 20k (actually, it's closer to 80k, same order of magnitude)...
Just add one more power of pi.... Shouldn't require anything computationally larger than a 64 bit floating point number.
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RE: Science Porn
(3rd September 2016, 18:54)Alex K Wrote: For three pi-s, you get a number around 10^18, simple pocket calculators probably don't do that, but advanced programmable ones might... For four pi-s however, you get pi to the power of that number, i.e. roughly 10^18 digits. You'd need an absurd amount of memory just to store the result, let alone do the calculation.

[Image: 5e8644a69500db966b48f6d10e52e4e1.jpg]

Hehe
"Leave it to me to find a way to be,
Consider me a satellite forever orbiting,
I knew the rules but the rules did not know me, guaranteed." - Eddie Vedder
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RE: Science Porn
(3rd September 2016, 19:21)pocaracas Wrote: Of the top of my head... 3^3 is 27.
27^3 is (ok...calculator....) 19683... So pi^pi^pi should be close to this...around 20k (actually, it's closer to 80k, same order of magnitude)...
Just add one more power of pi.... Shouldn't require anything computationally larger than a 64 bit floating point number.

Hehe, yes, ((3^3)^3)^3 isn't very big Smile

3^(3^(3^3)) on the other hand....
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition

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RE: Science Porn
(3rd September 2016, 19:21)pocaracas Wrote: Of the top of my head... 3^3 is 27.
27^3 is (ok...calculator....) 19683... So pi^pi^pi should be close to this...around 20k (actually, it's closer to 80k, same order of magnitude)...
Just add one more power of pi.... Shouldn't require anything computationally larger than a 64 bit floating point number.


Hehe, yes, ((3^3)^3)^3 isn't very big Smile

3^(3^(3^3)) on the other hand....
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition

Reply
RE: Science Porn
(3rd September 2016, 19:21)pocaracas Wrote: Of the top of my head... 3^3 is 27.
27^3 is (ok...calculator....) 19683... So pi^pi^pi should be close to this...around 20k (actually, it's closer to 80k, same order of magnitude)...
Just add one more power of pi.... Shouldn't require anything computationally larger than a 64 bit floating point number.


Hehe, yes, ((3^3)^3)^3 isn't very big Smile

3^(3^(3^3)) on the other hand....
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition

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RE: Science Porn
I see what you did there Tongue
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RE: Science Porn
It doesn't seem very likely that it's a natural number. It also doesn't seem likely that it's solvable especially given we can only use approximations of pi.
"There remain four irreducible objections to religious faith: that it wholly misrepresents the origins of man and the cosmos, that because of this original error it manages to combine the maximum servility with the maximum of solipsism, that it is both the result and the cause of dangerous sexual repression, and that it is ultimately grounded on wish-thinking." ~Christopher Hitchens, god is not Great

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RE: Science Porn
(4th September 2016, 04:24)SteelCurtain Wrote: It doesn't seem very likely that it's a natural number. It also doesn't seem likely that it's solvable especially given we can only use approximations of pi.
A numerical approximation is enough to show that it *isn't* an integer, right? My guess is it will probably be shown to not be an integer using some general number theoretic proof without having to calculate it explicitely (the same way it is proven that pi itself isn't a rational number)
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition

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