List of publications on a keyword: «ABC-conjecture»

The ABC conjecture states that for three mutually prime numbers A, B, and C satisfying the relation A + B = C, the product of the prime divisors A, B, and C is usually not much less than C. The theorem is very simple to formulate, but extremely difficult to prove. Some five hundred pages have been spent by some of the most eminent mathematicians in the Western world trying to find a proof - but the result is anything but ambiguous and difficult to verify. Meanwhile, any student with advanced training in the exact sciences can understand and prove the ABC hypothesis, relying on creative imagination based on the synthesis of school knowledge, including physics and chemistry. Prime numbers have a huge research potential, they play a unifying role in understanding the world around us. And this is important for education.

In 1637, Pierre de Fermat wrote at the margins of Diophantus’ Arithmetica that he had found a truly wonderful proof of the insolvability of the Diophantine equation a^n + b^n = c^n, where n > 2, but the narrow margins of the books did not allow him to give the full proof. Is there a short and easy way to prove Fermat's Last Theorem? The following ABC conjecture states that for three co-prime numbers A, B, and C which satisfy A + B = C, the product of the prime factors of ABC is usually not much less than C. Both theorems are formulated very simply, but are extremely difficult to prove. Hundreds of pages have been spent by eminent mathematicians of Western world searching for proofs, and the search for proofs continues. The author found new methods of proof that are generally understandable, even to schoolchildren on the basis of a synthesis of several sciences, including physics. Number theory plays an interesting role in pedagogy.

In 1637, Pierre de Fermat wrote at the margins of Diophantus’ Arithmetica that he had found a truly wonderful proof of the insolvability of the Diophantine equation a^n + b^n = c^n, where n > 2, but the narrow margins of the books did not allow him to give the full proof. Is there a short and easy way to prove Fermat's Last Theorem? The following ABC conjecture states that for three co-prime numbers A, B, and C which satisfy A + B = C, the product of the prime factors of ABC is usually not much less than C. Both theorems are formulated very simply, but are extremely difficult to prove. Hundreds of pages have been spent by eminent mathematicians of Western world searching for proofs, and the search for proofs continues. The author found new methods of proof that are generally understandable, even to schoolchildren on the basis of a synthesis of several sciences, including physics. Number theory plays an interesting role in pedagogy.

In 1637, Pierre de Fermat wrote at the margins of Diophantus’ Arithmetica that he had found a truly wonderful proof of the insolvability of the Diophantine equation a^n + b^n = c^n, where n > 2, but the narrow margins of the books did not allow him to give the full proof. Is there a short and easy way to prove Fermat's Last Theorem? The following ABC conjecture states that for three co-prime numbers A, B, and C which satisfy A + B = C, the product of the prime factors of ABC is usually not much less than C. Both theorems are formulated very simply, but are extremely difficult to prove. Hundreds of pages have been spent by eminent mathematicians of Western world searching for proofs, and the search for proofs continues. The author found new methods of proof that are generally understandable, even to schoolchildren on the basis of a synthesis of several sciences, including physics. Number theory plays an interesting role in pedagogy.