The deceptively simple idea that every even integer greater than 2 is the sum of two primes. Key Themes

Posited in 1630 and finally solved by Andrew Wiles in 1995, this three-century effort led to the creation of algebraic number theory.

Often considered the most significant open problem in pure mathematics, it deals with the distribution of prime numbers.

In his book , celebrated mathematician Ian Stewart explores fourteen of the most formidable challenges in mathematics. Stewart argues that a "great problem" is defined not just by its difficulty, but by the new ideas and fields of research it inspires during the quest for a solution. The Vanquished: Solved Problems

Stewart also details the "Holy Grails" that continue to baffle modern mathematicians:

A problem simple enough for a fourth-grader to understand—asking if four colors are enough for any map—that eventually required a massive computational effort to prove. The Enigmas: Unsolved Challenges

Stewart highlights the lives and persistence of the individuals who dedicated their lives to these puzzles.