An Achilles number is a number that is powerful but not a perfect power. A positive integer n is a powerful number if, for every prime factor p of n, p2 is also a divisor. In other words, every prime factor appears at least squared in the factorization. All Achilles numbers are powerful. However, not all powerful numbers are Achilles numbers: only those that cannot be represented as mk, where m and k are positive integers greater than 1. Achilles numbers were named by after Achilles, a hero of the Trojan war, who was also powerful but imperfect. Strong Achilles numbers are Achilles numbers whose Euler totients are also Achilles numbers. (Wikipedia).

What are Irrational Numbers? | Number System | Don't Memorise

Watch this video to know more about Rational numbers, Irrational Numbers, Real Numbers and Number System. To learn more about Irrational Numbers, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=CtRtXoT_

From playlist Irrational Numbers

"Put worded numbers into figures or vice versa."

From playlist Number: Basic Arithmetic

Q269, Power Series of x^2*tan^-1(x)

Power Series of x^2*tan^-1(x)

From playlist Best Friend 1/(1-x) & Power Series, calculus 2

Irrational Numbers - What are they?

Learn what an irrational number is in this free math video tutorial by Mario's Math Tutoring. 0:07 What is an Irrational Number 0:11 What is an Integer 0:35 Example of a Rational Number 7 1:02 Example of How a Repeating Decimal is Rational 1:26 Example 1 is Square Root of 7 Rational? 1:40

From playlist Algebra 1

From playlist everything

My #MegaFavNumber is 79,873,884

My #MegaFavNumber is 79,873,884 which is the first number over 1 million that is in its own location in the digits of pi

From playlist MegaFavNumbers

This Paradox Proves Motion is a Lie (Achilles and the Tortoise)

The Greek philosopher Zeno famously wrote a book of paradoxes 2,500 years ago that still continues to baffle scientists and philosophers today. One of his paradoxes, titled Achilles and the Tortoise, examines the idea of infinity in great philosophical complexity. Figuring out the answer t

From playlist Concerning Education

How real are the real numbers, really?

We usually say that infinity isn't real, but here we'll see how crucial it is to have one very big infinity for the real world; there is an infinite number of numbers. But why do we need real numbers at all? Aren't rational numbers enough? And what about hyperreal numbers? What we'll see

From playlist Some fun math videos about approximation

Why the number 0 was banned for 1500 years

Watch over 2,400 documentaries for free for 30 days AND get a free Nebula account by signing up at https://curiositystream.com/upandatom. Once you sign up you'll get an email about Nebula! Hi! I'm Jade. If you'd like to consider supporting Up and Atom, head over to my Patreon page :) ht

From playlist Math

Fields Medallist Charlie Fefferman talks about some classic infinite series. More links & stuff in full description below ↓↓↓ Charles Fefferman at Princeton: https://www.math.princeton.edu/people/charles-fefferman Numberphile is supported by the Mathematical Sciences Research Institute

From playlist Infinity on Numberphile

#2 Idenitfying Irrational numbers

An example that helps in identifying irrational numbers and understanding the basic concepts of irrational numbers.

From playlist Middle School This Year

David Hunt - Does God Know the Future?

What would it mean for God to know the future? Know the general patterns of history and lives? Or know every last, minute fact about every possible thing that happens? Next, is God a super-good predictor or forecaster of the future? Or does God in some sense literally 'see' the future as i

From playlist Big Questions About God - Closer To Truth - Core Topic

The Holiday Box has evolved! Now you can support Vsauce, your brain, Alzheimer's research, and other YouTube educators by joining THE CURIOSITY BOX: a seasonal delivery of viral science toys made by Vsauce! A portion of all proceeds goes to Alzheimer's research and our Inquisitive Fellowsh

From playlist Knowledge

MegaFavNumbers My Mega Favorite Number ? 《百萬最數配》 你最愛哪個百萬大數？

身為百萬頻道（一百訂閱一萬觀看） 我們也來響應 #MegaFavNumbers 的活動啦！ 你喜歡哪個百萬大數？歡迎一起參與活動喔！ （英文這麼破的我們都挑戰了，你也一定行！） 活動說明：https://amathing.world/megafavnumbers/ 影片清單：https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo

From playlist MegaFavNumbers

In this lecture, Dr Emily Hauser (University of Exeter) explores the role of the gods in the Iliad, focusing in particular on: (i) the views of ancient scholars on the depiction of the gods in the Iliad, including Xenophanes and Longinus; (ii) the different ways in which the gods interact

From playlist Classics & Ancient History

The Iliad - End Game - Extra Mythology - #4

Watch Extra Mythology ad-free on Nebula! https://go.nebula.tv/extramythology So here we stand at the end, the Trojans have pushed back the Acheans. Achilles is nowhere to be seen and Agamemnon tries to find some way to convince him to join the battle. Zeus, tired of the gods ignoring the

From playlist Extra Mythology (ALL EPISODES)

Harvard ENGL E-129 - Lecture 2: Troilus and Cressida

Recorded on Sep 26, 2007.

From playlist Harvard: Shakespeare After All: The Later Plays - CosmoLearning.com English Course

NUMBERS: "∞" infinity, The ladder of Heaven | Five numbers that changed the world | Cool Math

NUMBERS - secrets of Math. Mathematics is shrouded behind a veil and does not easily reveal itself. Students resort to rote memorization of math formulas to solve problems in a boring exercise of the mind that is also repetitive. However, if you knew the history of mathematics, the way the

From playlist Civilization

#MegaFavNumbers - 7,588,043,387,109,376 by Egi

87,109,376^2=7,588,043,387,109,376. The last 8 digits is the square root😀, it's called an automorphic number which n^2 ends with n

From playlist MegaFavNumbers