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[[[>50 Some of Hilbert's Problems:

| *Problem* | *Resolved?* |

| 1. The Continuum hypothesis | Partially | Independent of the axioms of arithmetic |

| 2. The axioms of arithmetic are consistent | Partially | See Godel's Theorem |

| ... | ... | ... |

| 7. Is EQN:a^b a transcendental number, for algebraic numbers EQN:a\ne{}0,1 and algebraic /b/ ? | Yes | See Gelfond-Schneider theorem |

| 8. The Riemann hypothesis | No | One of the Millennium problems |

]]]

David Hilbert at the beginning of the 20th Century formed a list of twenty-three Mathematical problems which were unsolved at the time as a challenge to Mathematicians. They have been very influential in the development of Mathematics since that time.

Many have been resolved but some including the Riemann Hypothesis await a decision.

The complete list and their status can be found on the WikiPedia page:

* http://en.wikipedia.org/wiki/Hilbert's_problems