The Joy of Harshad Numbers - Numberphile

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From: Numberphile
Duration: 16:49
Views: 56,574

Tony Padilla on Harshad Numbers. Learn for free on Brilliant (and get 20% off a premium subscription) at https://brilliant.org/numberphile (episode sponsor). More links & stuff in full description below ↓↓↓

Extra footage from this interview can be found on Numberphile2 - https://youtu.be/iGEC1FH5yBU

Harshad Numbers are also known as Niven Numbers.

Tony Padilla's book Fantastic Numbers and Where to Find Them - https://amzn.to/3VywNyy

More from Tony on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWL8KAJKO3WfHhJcWrJfjgfU

Plus Tony on Sixty Symbols - https://www.youtube.com/playlist?list=PLcUY9vudNKBPJmX64Jay51cdZTKMz4ACs

Here's a Harshad Tester (for various bases) based on Tony's code: https://www.numberphile.com/is-it-a-harshad-number (sorry for an problems, I was kind of experimenting here)

On Consecutive Niven Numbers (paper): https://www.fq.math.ca/Scanned/31-2/cooper.pdf

Additive bases and Niven numbers (paper): https://arxiv.org/abs/2101.07593

Patreon: http://www.patreon.com/numberphile

Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet

We are also grateful for support from Ben Delo.

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Used some AI to represent the old greats doing math in the offices.

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jlvanderzwan
9 hours ago
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TIL my daughter's birthday, if written in year/month/day order, is a harshad number :)
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Physics Paths

2 Comments and 4 Shares
If nothing else, that reasoning definitely overturns syllogisms.
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jlvanderzwan
1 day ago
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2 public comments
mkalus
19 hours ago
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The Weinstein must be twitching.
iPhone: 49.287476,-123.142136
alt_text_bot
2 days ago
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If nothing else, that reasoning definitely overturns syllogisms.

Saturday Morning Breakfast Cereal - Ur

2 Comments and 3 Shares


Click here to go see the bonus panel!

Hovertext:
Also you can add irr- to the front to negate the idea.


Today's News:
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jlvanderzwan
3 days ago
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Not to be confused with the Uruk-Or-Urk-Or-Ur-Ur-Error, which involves mishearing someone and as a result believing that a certain fishing village in the Netherlands is a lot more ancient than it actually is

https://en.wikipedia.org/wiki/Urk
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1 public comment
pedersje
3 days ago
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Say that five times fast.
North Central Kentuckistaniana
silberbaer
23 hours ago
No

Perennial "Fuck the Blue Angels" post.

jwz
1 Comment

(NOTE: If you are about to "Well Actually" at me about this in some way, please be advised that I do not give the slightest shit.)


Previously, previously, previously, previously, previously, previously, previously.

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jlvanderzwan
3 days ago
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I miss Pictures for Sad Children. Hope the author is doing OK these days
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I’ve put a few new drawings up at www.tomgauld.com/art-for-sale There are also badges, prints and a…

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A pen and ink drawing.
Panel One:
 A woman sits in a chair reading happily in a book-filled room.
 A voice offstage says
"You can't survive on books alone"
The woman replies
"Maybe I can!"

Panel Two:
"How?" asks the voice
"I don't know yet, but I'm sure the answer will be in one of my books." Says the woman

Panel Three:
Caption: However 
The book is filled with yet more books.
A skull sits on the chair. It says
"I regret nothing!"ALT
A pen and ink drawing.

Title: Why do you want the book to be banned?

A cartoon with ten panels showing people answering:

1. I read the book and hated it. 

 2. I didn't read the book, but I still hate it. 
 
 3.  I hate books! 
 
 4. I love banning things!
 
5. I could not relate to the characters. 
 
 6. I'm not sure, but better safe than sorry? 
 
 7. My copy arrived damaged. 
 
 8. It could fall into the hands of a child. 
 
 9. It could fall on to the head of a child. 
 
 10. I didn't understand the ending.ALT
A pen and ink drawing.
Image: A small, pretty English village. A girl with a bag on her shoulder runs towards a van on the other side of the village green. She says to herself "I've got to follow my heart and leave this sleepy village behind. A new life awaits on the open road, touring from town to town in a merry band of brilliant eccentrics!"

Title: “Rebecca runs away to join the travelling library”ALT
A pen and ink drawing.
A six panel cartoon with text:

At a secret location, the intergalactic terminal awaits its first alien visitors. 

A customs officer is ready with forms printed in every conceivable script. 

The coffee shop has receptacles designed for mouth, beak, trunk or mandible.

A stall sells postcards, earth souvenirs, and an encyclopedic array of travel adaptors. 

The shuttle bus runs hourly to the city, stopping at a number of mid-price hotels. 

So far, the only landings on the runway or saucer-pad have been by local birds.ALT

I’ve put a few new drawings up at www.tomgauld.com/art-for-sale There are also badges, prints and a zine at www.tomgauld.com/shop

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jlvanderzwan
4 days ago
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Ok but if bookmobiles were actually run by a nomadic group of librarians I probably would have fantasized about joining them as a child because that sounds amazing and why isn't this a fantasy trope yet?
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1334: Like Clockwork

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http://www.giantitp.com/comics/oots1334.html
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jlvanderzwan
4 days ago
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The amount of lampshading is making me nostalgic for the early days of the series
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