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Primeur weekly 2019-09-09

Quantum computing

New quantum project aims for ultra-secure communication in Europe ...

Schrödinger and Qu & Co announce collaboration to advance quantum mechanical computations on quantum computers ...

Spreading light over quantum computers ...

Focus on Europe

AUBASS' AUTOSAR Adaptive Platform solution ported on Kalray's intelligent processor ...

eScience Center takes part in hackathon to improve tools for analysis of internet therapies ...

At the edge of chaos, powerful new electronics could be created ...

Middleware

2CRSI becomes a Bright reseller in the USA, Europe and Middle East ...

NERSC and ECP host OpenMP Hackathon for energy-efficient architectures ...

Hardware

Shell and PDENH are investing in Dutch sustainable data centre technology scale-up Asperitas ...

Konstantinos Orginos awarded time on world's fastest supercomputer to study Lattice QCD ...

GRC teams with NVIDIA to provide fully optimized liquid-immersion cooled system to support the Texas Advanced Computing Center's Frontera supercomputer ...

Mellanox introduces new LinkX 200G & 400G cables & transceivers at CIOE, Shenzhen, China and ECOC, Dublin, Ireland 2019 ...

Texas boosts U.S. science with fastest academic supercomputer in the world ...

New insulation technique paves the way for more powerful and smaller chips ...

WekaIO awarded three patents ...

Intel Xeon Scalable processors drive advanced research in world's fastest academic supercomputer ...

Applications

Rochester Institute of Technology researchers use Frontera supercomputer to simulate neutron star mergers ...

Researchers use TACC's new Frontera supercomputer to simulate viruses and cells ...

Teaching Neural Networks Quantum Chemistry ...

Building a sunnier energy future ...

Researchers apply increasing computational power to develop predictive models and create patient-specific treatment plans ...

Researchers will simulate high speed turbulent flows on Frontera supercomputer ...

U.S. National Science Foundation awards San Diego Supercomputer Center and partners $5,9 million to host EarthCube Office ...

Researchers uncover role of earthquake motions in triggering a 'surprise' tsunami ...

Artificial Intelligence for Physics Research ...

NCSA machine learning pipeline provides insight into energy-efficient home improvement programmes ...

Eight projects to gain early access to the Frontier supercomputer ...

New Berkeley Lab study uses supercomputers to analyze hydrological changes in a California watershed following a wildfire ...

PPG selected for DOE partnership to speed development, testing of adhesives for lightweight vehicles ...

Sum of three cubes for 42 finally solved - using real life planetary computer ...

Sum of three cubes for 42 finally solved - using real life planetary computer


Professor Andrew Booker. Image credit: University of Bristol.
6 Sep 2019 Bristol - Hot on the heels of the ground-breaking 'Sum-Of-Three-Cubes' solution for the number 33, a team led by the University of Bristol and Massachusetts Institute of Technology (MIT) has solved the final piece of the famous 65-year-old maths puzzle with an answer for the most elusive number of all - 42.

The original problem, set in 1954 at the University of Cambridge, looked for Solutions of the Diophantine Equation x^3+y^3+z^3=k, with k being all the numbers from one to 100.

Beyond the easily found small solutions, the problem soon became intractable as the more interesting answers – if indeed they existed – could not possibly be calculated, so vast were the numbers required.

But slowly, over many years, each value of k was eventually solved for (or proved unsolvable), thanks to sophisticated techniques and modern computers - except the last two, the most difficult of all; 33 and 42.

Fast forward to 2019 and Professor Andrew Booker's mathematical ingenuity plus weeks on a university supercomputer finally found an answer for 33, meaning that the last number outstanding in this decades-old conundrum, the toughest nut to crack, was that firm favourite of Douglas Adams fans everywhere.

However, solving 42 was another level of complexity. Professor Booker turned to MIT maths professor Andrew Sutherland, a world record breaker with massively parallel computations, and - as if by further cosmic coincidence - secured the services of a planetary computing platform reminiscent of "Deep Thought", the giant machine which gives the answer 42 in Hitchhiker's Guide to the Galaxy.

Professors Booker and Sutherland's solution for 42 would be found by using Charity Engine; a 'worldwide computer' that harnesses idle, unused computing power from over 500.000 home PCs to create a crowd-sourced, super-green platform made entirely from otherwise wasted capacity.

The answer, which took over a million hours of calculating to prove, is as follows:

X = -80538738812075974 Y = 80435758145817515 Z = 12602123297335631

And with these almost infinitely improbable numbers, the famous Solutions of the Diophantine Equation (1954) may finally be laid to rest for every value of k from one to 100 - even 42.

Professor Booker, who is based at the University of Bristol's School of Mathematics, stated: "I feel relieved. In this game it's impossible to be sure that you'll find something. It's a bit like trying to predict earthquakes, in that we have only rough probabilities to go by. So, we might find what we're looking for with a few months of searching, or it might be that the solution isn't found for another century."

The study titled " Cracking the problem with 33 " is authored by A. Booker and appeared inResearch in Number Theory.
Source: University of Bristol

Back to Table of contents

Primeur weekly 2019-09-09

Quantum computing

New quantum project aims for ultra-secure communication in Europe ...

Schrödinger and Qu & Co announce collaboration to advance quantum mechanical computations on quantum computers ...

Spreading light over quantum computers ...

Focus on Europe

AUBASS' AUTOSAR Adaptive Platform solution ported on Kalray's intelligent processor ...

eScience Center takes part in hackathon to improve tools for analysis of internet therapies ...

At the edge of chaos, powerful new electronics could be created ...

Middleware

2CRSI becomes a Bright reseller in the USA, Europe and Middle East ...

NERSC and ECP host OpenMP Hackathon for energy-efficient architectures ...

Hardware

Shell and PDENH are investing in Dutch sustainable data centre technology scale-up Asperitas ...

Konstantinos Orginos awarded time on world's fastest supercomputer to study Lattice QCD ...

GRC teams with NVIDIA to provide fully optimized liquid-immersion cooled system to support the Texas Advanced Computing Center's Frontera supercomputer ...

Mellanox introduces new LinkX 200G & 400G cables & transceivers at CIOE, Shenzhen, China and ECOC, Dublin, Ireland 2019 ...

Texas boosts U.S. science with fastest academic supercomputer in the world ...

New insulation technique paves the way for more powerful and smaller chips ...

WekaIO awarded three patents ...

Intel Xeon Scalable processors drive advanced research in world's fastest academic supercomputer ...

Applications

Rochester Institute of Technology researchers use Frontera supercomputer to simulate neutron star mergers ...

Researchers use TACC's new Frontera supercomputer to simulate viruses and cells ...

Teaching Neural Networks Quantum Chemistry ...

Building a sunnier energy future ...

Researchers apply increasing computational power to develop predictive models and create patient-specific treatment plans ...

Researchers will simulate high speed turbulent flows on Frontera supercomputer ...

U.S. National Science Foundation awards San Diego Supercomputer Center and partners $5,9 million to host EarthCube Office ...

Researchers uncover role of earthquake motions in triggering a 'surprise' tsunami ...

Artificial Intelligence for Physics Research ...

NCSA machine learning pipeline provides insight into energy-efficient home improvement programmes ...

Eight projects to gain early access to the Frontier supercomputer ...

New Berkeley Lab study uses supercomputers to analyze hydrological changes in a California watershed following a wildfire ...

PPG selected for DOE partnership to speed development, testing of adhesives for lightweight vehicles ...

Sum of three cubes for 42 finally solved - using real life planetary computer ...