Top 5 Most Difficult Maths Problem In the World

HERE ARE THE TOP 10 MOST DIFFICULT MATHS PROBLEM IN THE HISTORY:

1) The Four Color Theorem

Problem: Can every map be colored with just four colors so that no two adjacent regions have the same color?

Status: Solved

Solution Example: The Four Color Theorem was proven with computer assistance, checking numerous configurations to show that four colors are sufficient. If you want to prove it practically, try coloring a map using only four colors; you’ll find it’s always possible without adjacent regions sharing the same color.

2) Fermat’s Last Theorem

Problem: There are no three positive integers a,b,c that satisfies

an+bn=cn for n>2.

Status: Solved

Solution Example: Andrew Wiles provided a proof in 1994. To understand it, one would need a deep understanding of elliptic curves and modular forms. The proof shows that no such integers a,b,c can exist for n>2.

3) The Monty Hall Theorem

Problem: You’re on a game show with three doors. One hides a car, the others goats. After choosing a door, the host reveals a goat behind another door. Do you switch?

Status: Solved

Solution Example: Always switch. When you first choose, there’s a 1/3 chance of picking the car. After a goat is revealed, switching gives you a 2/3 chance of winning. If you don’t believe it, try simulating the game multiple times.

4) The travelling SalesMan Problem

Problem: What’s the shortest possible route that visits each city exactly once and returns to the origin?

Status: Unsolved for a general algorithm

Solution Example: This is known as computer science’s most well-known optimization problems. Although there is no solution for all cases, algorithms like the Nearest Neighbor and Dynamic Programming can provide good approximations for specific instances.

5) The Twin Prime Conjecture 

Problem: Are there infinitely many prime numbers that differ by 2?

Status: Unsolved

Solution Example: N/A