Euler's and Fermat's last theorems, the Simpsons and CDC6600
Mathologer・2 minutes read
Fermat's Last Theorem states that X^4 + Y^4 = Z^4 has no positive integer solutions, with Andrew Wiles proving it in 1993 for prime number exponents up to 125000. The proof involves showing a contradiction with two solutions, where the second one must be smaller, highlighting the complexity of Wiles's mathematical achievement.
Insights
- Fermat's Last Theorem asserts that no positive integer solutions exist for the equation X^4 + Y^4 = Z^4, with implications beyond this specific case.
- Euler's conjecture builds upon Fermat's Theorem, requiring multiple positive nth powers to sum up to another nth power, showcasing the interconnectedness of mathematical theories and the depth of analysis involved.
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What is Fermat's Last Theorem?
Fermat's Last Theorem states that the equation X^4 + Y^4 = Z^4 has no positive integer solutions.
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