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It is difficult to determine the "best" math genius in the world as mathematical abilities and contributions vary. However, some notable names include mathematicians like Carl Friedrich Gauss, Leonhard Euler, and Srinivasa Ramanujan, who made substantial contributions to mathematics.
Trigonometry is the study of lengths and angles within triangles. Some mathematicians that have contributed to this branch of mathematics are: Hipparchus, Gemma Frisius, Leonhard Euler, Brook Taylor.
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Many mathematicians have worked on the mathematics of infinity. Leibniz, Frege, Dedekind, Cantor, Hilbert are some.
The Reimann Hypothesis is regarded by some mathematicians as the most important unsolved problem in mathematics. It concerns the distribution of primes.