Skip to main content

World's Biggest math problem solved .... Achieved by Superrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr computer



Three computer scientists have formed, using a supercomputer, a 200-terabyte file containing the solution to a Boolean Pythagorean triples quandary, a puzzle that has elude mathematicians for years.

It’s the major math proof. A supercomputer solved it in just 2 days. The file size is 200 terabytes.

Yes, 200 terabytes. That’s the size of the file containing the computer-assisted proof for a mathematical problem that has boggled mathematicians for years—It’s known as Boolean Pythagorean triples problem.

The proof was packed in into a 68-gigabyte file, meaning anyone who wants to can download, rebuild, and confirm all the information implanted onto it. And individuals can do so, if they have the space CPU time, in just about 30,000 hours.

The 200 terabyte file eventually beats a until that time well-known record for the largest-ever computer-assisted proof. It had a size of just 13 gigabytes.

According to Ronald Graham, a University of California, San Diego mathematician and previous record-holder of the then biggest proof, having computers assist in creating proofs for combinatory problems is quite ordinary. He even offered a prize of US$100 for to anyone that might solve it.

As previously mentioned, the 200-terabyte proof solved a combinatorics type of mathematical problem called the Boolean Pythagorean triples. It asks whether each positive integers can be colored either red or blue, so that a combination of three integers a, b, and c, (Pythagorean Triple) can satisfy the Pythagorean equation, a 2 + b 2 =c 2, wherein none of the integers have the same color.

COMPUTER RUN-TIME

Two days and 800 parallel running processors later, the Stampede supercomputer of the University of Texas produced the 200 terabyte file. A separate computer program was then used to confirm the produced proof.

Though the problem offered many permissible ways to color integers in dissimilar combination, the scientists took benefit of techniques and symmetries in number theory to reduce the number of checks that the computer had to do. This step minimized the number of runs performed by the computer by almost 1 trillion.
Despite having cracked the infamous Boolean Pythagorean triples problem, the record-breaking file still fails to provide answers as to why the coloring scheme is possible.
The proof revealed that yes; it was possible to color the integers in multiple ways; however, only up to 7,824. After this point, it’s not possible. This raises more questions: Why is there a cut-off point at 7,825? Why is the first stretch possible?
Hope You like it 
Keep coming back for more.
like us on facebook.com/atechbit
Photos and videos are not ours. 

Labels:

Comments

Post a Comment

Popular posts from this blog

Hyper Car Wallpapers...

The sweatest of the cars now a days are Hyper cars. and as the name suggests they are Hyper Too. Today, we are presenting to you some of the beautiful Hyper cars from Internet. Hope you liked it Keep coming back for more Note: Photos are not authors own!
Post a Comment
Read more

How to make MARS Liveable...AKA Terraforming

Hi, Ever thought that you should not live on this planet. well if you happen to be alive in 21st century you may have at least for once thought about it. Yes we all have to leave earth one day one after another via death. But is it the only way possible or is there any other way around. Indeed there is, as Scientist at NASA and other major space exploration facilities have continuously searching for a suitable planet to live on. But recent advancements have lead us to believe that searching a livable planet is by far the most difficult task as finding one is like finding needle in hay stack but they are far enough to make the task of going there as difficult as passing a camel through the pin hole. So the obvious questions remains the same can we live on other planets. The answer remarkably is yes we can, by terraforming other planets to our own needs. Remember the scene from Man of Steel movie where General Zod starts the World engine to make earth like krypton. Yes i...
Post a Comment
Read more

Driving the Future: The Meteoric Rise of BYD Cars and Their Flagship Models:

The automotive landscape is undergoing a seismic shift, and at the forefront of this revolution is BYD (Build Your Dreams) . Once a battery manufacturer, BYD has rapidly transformed into a global powerhouse in the electric vehicle (EV) market. Their innovative technology, competitive pricing, and expanding product range are fueling their meteoric rise, capturing the attention of consumers and industry experts alike. If you're searching for "electric cars," "BYD vehicles," or "affordable EVs," you've undoubtedly encountered this brand. BYD Cars BYD's Success: A Perfect Storm of Innovation and Strategy Several factors contribute to BYD's surging popularity. Firstly, their vertical integration, producing everything from batteries to semiconductors, gives them a significant cost advantage. This translates to more affordable electric cars for consumers, a crucial factor in the mass adoption of EVs. Secondly, BYD's focus on Blade Battery tec...
Post a Comment
Read more