FANDOM


This category contains googologisms that are composite, but not a perfect power. For googologisms which are suspected to be a non-power, see Category:Suspected non-powers.

The vast majority of googologisms are perfect powers; this applies especially to those coined by Jonathan Bowers, Sbiis Saibian, or Lawrence Hollom.

Achilles numbers and squarefree numbers (except 1) are per definition never a perfect power, and will not be listed here.

10-based FGH numbers and pronic numbers (except 0) are also never a perfect power, so they will also not be listed here.

According to Obláth, Bugeaud and Mignotte, repdigit numbers with more than one digit cannot be a perfect power either, so they will not be listed here either.

According to Bugeaud, Mignotte and Siksek, Fibonacci numbers (except 0, 1, 8 and 144) cannot be a perfect power either, so they will not be listed here either.

According to Bertrand, orders of symmetric groups (except 1) cannot be a perfect power either, so they will not be listed here either.

According to Erdős, Darmon, Merel and Győry, binomial coefficients (numbers of the form nCk with n ≥ 2k and k ≥ 2) (except square triangular numbers and the number 19,600) cannot be a perfect power either, so they will not be listed here either.

All known perfect numbers are even, and it has been proven, that no even perfect number can be a perfect power, so they will not be listed here either. It is currently unknown, but highly unlikely, that there is an odd perfect number, which is also a perfect power.

To add an article, image, or category to this category, append [[Category:Non-powers]] to the end of its page.

Subcategories

This category has the following 15 subcategories, out of 15 total.

1

A

P

R

S

≈ cont.

Pages in category "Non-powers"

The following 200 pages are in this category, out of 574 total.

(previous 200) (next 200)(previous 200) (next 200)