** Mathematics** is the study of

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*There are approximately 31,444 mathematics articles in Wikipedia.*

Mathematics department in Göttingen where Hilbert worked from 1895 until his retirement in 1930 Image credit: |

**David Hilbert** (January 23, 1862,

The ** sieve of Eratosthenes** is a simple

- ... that one can list every
positive rational number without repetition bybreadth-first traversal of theCalkin–Wilf tree ? - ... that the
Hadwiger conjecture implies that the external surface of anythree-dimensional convex body can beilluminated by only eight light sources, but the bestproven bound is that 16 lights are sufficient? - ... that an
equitable coloring of agraph , in which the numbers of vertices of each color are as nearly equal as possible, may require far more colors than agraph coloring without this constraint? - ... that no matter how
biased a coin one uses,flipping a coin to determine whether eachedge is present or absent in acountably infinite graph will always producethe same graph , theRado graph ? - ...that it is possible to
stack identical dominoes off the edge of a table to create an arbitrarily large overhang? - ...that in
Floyd's algorithm forcycle detection , thetortoise and hare move at very different speeds, but always finish at the same spot? - ...that in
graph theory , apseudoforest can containtrees and pseudotrees, but cannot contain any butterflies, diamonds, handcuffs, or bicycles?

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