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