Leanpub Header

Skip to main content

The dentist who defeated the mathematicians

the final proof of Collatz conjecture

This small book is the result of the effort of a dentist with no formal background in mathematics.

It proves that simple mathematical thinking can overcome even the most stubborn problems ( #Collatz Conjecture) that have long troubled the mathematical community, despite their apparent simplicity.

He did not read any references or previous attempts to solve it.

Relying only on his basic understanding of mathematical principles, he built the proof from scratch.

Minimum price

Free!

$29.00

You pay

$29.00

Author earns

$23.20
$

...Or Buy With Credits!

You can get credits with a paid monthly or annual Reader Membership, or you can buy them here.
PDF
About

About

About the Book

This book presents a smooth, simple, gradual, and conclusive proof of the validity of the Collatz Conjecture.

Share this book

Author

About the Author

Khalid Alibraheem

Contents

Table of Contents

  • Section 1: Classifying odd numbers into three groups: B, C, and D
  • Section 2: Proving the absence of loops (except the loop of 1 with itself)
  • Section 3: Applying the conjecture to the three groups B, C, and D
  • Section 4: Studying the behavior of the group V = 5 + 12n
  • Section 5: Proving that all numbers satisfy the statement of the Collatz Conjecture

Get the free Community Edition

Enter your name and email address and click the buttons to the right to get the free Community Edition in PDF or EPUB, or just click this link to read a shorter sample online here

The Leanpub 60 Day 100% Happiness Guarantee

Within 60 days of purchase you can get a 100% refund on any Leanpub purchase, in two clicks.

Now, this is technically risky for us, since you'll have the book or course files either way. But we're so confident in our products and services, and in our authors and readers, that we're happy to offer a full money back guarantee for everything we sell.

You can only find out how good something is by trying it, and because of our 100% money back guarantee there's literally no risk to do so!

So, there's no reason not to click the Add to Cart button, is there?

See full terms...

Earn $8 on a $10 Purchase, and $16 on a $20 Purchase

We pay 80% royalties on purchases of $7.99 or more, and 80% royalties minus a 50 cent flat fee on purchases between $0.99 and $7.98. You earn $8 on a $10 sale, and $16 on a $20 sale. So, if we sell 5000 non-refunded copies of your book for $20, you'll earn $80,000.

(Yes, some authors have already earned much more than that on Leanpub.)

In fact, authors have earned over $14 million writing, publishing and selling on Leanpub.

Learn more about writing on Leanpub

Free Updates. DRM Free.

If you buy a Leanpub book, you get free updates for as long as the author updates the book! Many authors use Leanpub to publish their books in-progress, while they are writing them. All readers get free updates, regardless of when they bought the book or how much they paid (including free).

Most Leanpub books are available in PDF (for computers) and EPUB (for phones, tablets and Kindle). The formats that a book includes are shown at the top right corner of this page.

Finally, Leanpub books don't have any DRM copy-protection nonsense, so you can easily read them on any supported device.

Learn more about Leanpub's ebook formats and where to read them

Write and Publish on Leanpub

You can use Leanpub to easily write, publish and sell in-progress and completed ebooks and online courses!

Leanpub is a powerful platform for serious authors, combining a simple, elegant writing and publishing workflow with a store focused on selling in-progress ebooks.

Leanpub is a magical typewriter for authors: just write in plain text, and to publish your ebook, just click a button. (Or, if you are producing your ebook your own way, you can even upload your own PDF and/or EPUB files and then publish with one click!) It really is that easy.

Learn more about writing on Leanpub