A) n must be a positive integer B) n cannot be a prime number C) n cannot equal 4 or 5 modulo 9 D) n must be a multiple of 9
A) 1, 4, and 7 B) 1, 2, and 3 C) 0, 1, and -1 D) 0, 3, and 6
A) It proves the sum of cubes is infinite B) It implies the number 0 is prime C) It provides a counterexample to Fermat's Last Theorem for exponent three D) It results in a negative sum
A) Andrew Sutherland B) K. Mahler C) Andrew Booker D) Louis J. Mordell
A) Timothy Browning B) A.S. Verebrusov C) Noam Elkies D) K. Mahler
A) 3 and 4 B) 1 and 2 C) 0 and 1 D) 2 and 3
A) He found an infinite family of solutions B) He identified a counterexample C) He proved it was impossible D) He did not know anything more than the small solutions
A) Fermat's method of infinite descent B) Brute force search only C) Quartic polynomial parameterization D) Noam Elkies' method involving lattice reduction
A) Louis J. Mordell B) Andrew Sutherland C) Andrew Booker D) Timothy Browning
A) 33 B) 165 C) 74 D) 42
A) K. Mahler B) Andrew Sutherland C) Noam Elkies D) Andrew Booker
A) It uses random sampling B) It uses a supercomputer only C) It searches only for positive integers D) It has a running time proportional to the minimum of |x|, |y|, |z|
A) Noam Elkies and Timothy Browning B) K. Mahler and A.S. Verebrusov C) Andrew Booker and Andrew Sutherland D) Elsenhans and Jahnel
A) A single supercomputer in London B) A custom-built quantum computer C) A local university cluster D) Charity Engine global grid
A) Whether all integers have a representation as a sum of rational cubes B) Whether 0 can be represented as a sum of three non-zero cubes C) Whether 1 and 2 have infinitely many representations D) Whether the necessary condition (n not equal 4 or 5 mod 9) is sufficient
A) Timothy Browning B) Brady Haran C) Andrew Sutherland D) Bjorn Poonen
A) 2016 B) 2015 C) 2019 D) 1992
A) Cambridge B) MIT C) Oxford D) Harvard
A) Proven to be infinite B) Undecidable C) Decidable D) Unknown
A) Andrew Booker B) Bjorn Poonen C) Timothy Browning D) Roger Heath-Brown
A) Quanta Magazine B) Popular Mechanics C) New Scientist D) Scientific American
A) The Hilbert Conference B) International Congress of Mathematicians C) Fields Medal Symposium D) Algorithmic Number Theory Symposium
A) Hilbert's tenth problem B) Riemann Hypothesis C) Fermat's Last Theorem D) Goldbach's Conjecture
A) They have zero natural density B) They are finite in number C) They have a density of exactly one D) They have positive natural density
A) Irrational numbers B) Complex numbers C) Negative integers D) Rational numbers
A) 21st century B) 18th century C) 19th century D) 20th century |