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arxiv: 1108.0462 · v1 · submitted 2011-08-02 · 🧮 math.NT

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All solutions of the Diophantine equation a⁶+b⁶=c⁶+d⁶+e⁶+f⁶+g⁶ for a,b,c,d,e,f,g < 250000 found with a distributed Boinc project

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keywords boincdiophantineequationsolutionssystemsaboveapplyapril
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The above equation is also called as Euler(6,2,5) system. By computational aspect these systems are very interesting. And we can also apply these methods to other Diophantine equations. We give a brief history of these systems and how we searched for these big solutions on Boinc. Our two Boinc projects ran from April of 2010 to July of 2011.

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