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Googology Wiki

Please do not copy text from my site (as in descriptions of numbers and the like). This is my own content, and the wiki should have as little text copied from other sources as possible. Cookiefonster (talk) 13:43, February 20, 2015 (UTC)

I think we should add some (original, not copied) content on how Tupper's formula work and its results. -- ☁ I want more clouds! ⛅ 14:08, February 20, 2015 (UTC)

Is Tupper's number a perfect power?[]

Are there any perfect powers, which end in “300”? --84.61.143.176 14:46, February 20, 2015 (UTC)

If \(10\mid a^b\) for \(a,b\) natural numbers, then \(10\mid a\). If the number ends in "300" then \(10^2\mid a^b\) but \(10^3\nmid a^b\), so it follows that \(b=2\) (because \(b>1\) for perfect powers). Write \(a=10k\). Then \(a^b=100 k^2\), so \(k^2\) ends with a 3 in decimal expansion. But no square ends with a 3. It follows that no perfect power ends with "300", in particular Tupper's number is not a perfect power. LittlePeng9 (talk) 14:53, February 20, 2015 (UTC)
I don't see how useful it is to have to prove obsessively that every single number in the wiki is a power or non-power, but hey whatever floats your boat -- vel! 15:22, February 20, 2015 (UTC)

Multiple Tupper's Numbers?[]

I'm fairly new to the wiki so apologies if this is off-base, but I've noticed that Tupper's number seems to be different here than it is on Wolfram MathWorld and Numberphile (beginning with 960... instead of 485...).

However, this site lists the 485... number.

So are both of these numbers correct? Should one be a "first Tupper's number" and the other "second Tupper's number"? Especially since Tupper's own paper shows the number being 960... (page 7).

Superraptor1234 (talk) 04:12, August 8, 2017 (UTC)

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