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math.NT2025
Sums and differences of sets (improvement over AlphaEvolve)
Robert Gerbicz
On May 14, 2025, DeepMind announced that AlphaEvolve, a large language model applied to a set of mathematical problems, had matched or exceeded the best known bounds on several pro…
math.NT2012
A search for Wilson primes
Edgar Costa, Robert Gerbicz, David Harvey
A Wilson prime is a prime p such that (p-1)! = -1 mod p^2. We report on a search for Wilson primes up to 2 * 10^13, and describe several new algorithms that were used in the search…
math.NT2011
All solutions of the Diophantine equation a^6+b^6=c^6+d^6+e^6+f^6+g^6 for a,b,c,d,e,f,g < 250000 found with a distributed Boinc project
Robert Gerbicz, Jean-Charles Meyrignac, Uwe Beckert
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 equat…