Legendary Problems trivia
Legendary Problems Mini Quiz
Test your knowledge with these top questions!
The Riemann Hypothesis is one of seven Millennium Prize Problems with a million-dollar reward for its solution. Which group offers this prize?
The Clay Mathematics Institute, founded in 1998, established the Millennium Prize Problems in 2000, offering $1 million for each solution to advance mathematical progress.
The Four Color Theorem states that four colors suffice for maps where no adjacent regions share the same color. In what math field is it a landmark result?
The Four Color Theorem translates map coloring into graph theory, where regions become vertices and borders edges, proving planar graphs need at most four colors for proper vertex coloring.
Fermat's Last Theorem states no positive integers satisfy a^n + b^n = c^n for n greater than 2. What was the profession of its proposer Pierre de Fermat?
Pierre de Fermat was a French lawyer by profession, but he pursued mathematics as a passionate hobby, making groundbreaking contributions to number theory despite lacking formal training.
Early 19th-century mathematician Sophie Germain proved special cases of Fermat's Last Theorem despite barriers for women in academia. What nationality was Germain?
Sophie Germain was born in Paris in 1776, establishing her as French, and she self-taught mathematics after women were barred from the École Polytechnique.
Which mathematician proved the weak Goldbach Conjecture about sums of three primes for odd numbers?
Harald Helfgott proved the weak Goldbach conjecture in 2013, showing every odd integer greater than 5 can be expressed as the sum of three primes, resolving a 90-year-old problem.
Which mathematician proposed the conjecture that every even integer greater than two is the sum of two primes?
Goldbach's conjecture, stated in a 1742 letter to Euler, posits that every even integer greater than 2 is the sum of two primes and has been verified computationally for numbers up to 4×10^18.