# Fermat’s Last Theorem (FLT)

Fermat's Last Theorem is a theorem in mathematics that states that no three positive integers a, b, and c satisfy the equation an + bn = cn for any integer value of n greater than 2.

The theorem is named after Pierre de Fermat, who stated it in 1637 in the margin of a copy of Arithmeticae Theoriae Summulae Diophanti (The Theory of Sums of Arithmetic) by Diophantus of Alexandria. Fermat wrote in the margin that he had discovered a truly marvelous demonstration of the theorem that the margin was too small to contain. Fermat's claim was discovered some 36 years after his death by his son, ClĂ©ment-Samuel Fermat. A proof by English mathematician Andrew Wiles was announced in 1993 and published in 1995 in the Annals of Mathematics. Did Fermat solve his last theorem? No, he did not. Is there a simple proof of Fermat's Last Theorem? No, there is no simple proof of Fermat's Last Theorem. The theorem is notoriously difficult to prove, and the existing proofs are quite technical. How long did it take Andrew Wiles to solve Fermat's Last Theorem? Andrew Wiles took around 7 years to solve Fermat's Last Theorem. He first announced his proof in 1993, but it was later found to have a flaw. He then spent another 4 years working on the proof, and finally announced a successful proof in 1995.

##### What are the 7 unsolved math problems?

1. The Riemann hypothesis is a conjecture in mathematics that suggests that every non-zero whole number is the sum of a certain sequence of prime numbers.

2. Goldbach's conjecture is a conjecture in mathematics that suggests that every even number greater than 2 can be expressed as the sum of two prime numbers.

3. The twin prime conjecture is a conjecture in mathematics that suggests that there are infinitely many pairs of prime numbers that differ by 2.

4. The Collatz conjecture is a conjecture in mathematics that suggests that any positive integer will eventually reach 1 if the following process is followed: if the integer is even, divide it by 2; if the integer is odd, multiply it by 3 and add 1.

5. The Eulerâ€“Mascheroni constant is a mathematical constant that is defined as the limit of the difference between the natural logarithm of n and the harmonic series.

6. The Birch and Swinnerton-Dyer conjecture is a conjecture in mathematics that suggests that every elliptic curve over the field of rational numbers has a rational point.

7. The P/NP problem is a conjecture in mathematics that suggests that the complexity class P (which is the set of problems that can be solved in polynomial time) is different from the complexity class NP (which is the set of problems that can be verified in polynomial time). What was Wiles mistake? Wiles made a mistake in his proof of Fermat's Last Theorem. He assumed that certain diagonal matrices were invertible, when in fact they were not. This led to a flaw in his argument, and the proof had to be revised.