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He has made important contributions to many branches of pure maths, such as group theory, number theory and geometry and, with collaborators, has also come up with wonderful-sounding concepts like surreal numbers, the grand antiprism and monstrous moonshine.
But the Russian recluse has refused to accept the cash. He had already turned down maths' most prestigious honour, the Fields Medal in Perelman is currently unemployed and lives a frugal life with his mother in St Petersburg.
Together with Ben Green, he proved an amazing result about prime numbers — that you can find sequences of primes of any length in which every number in the sequence is a fixed distance apart.
For example, the sequence 3, 7, 11 has three primes spaced 4 apart. The sequence 11, 17, 23, 29 has four primes that are 6 apart.
While sequences like this of any length exist, no one has found one of more than 25 primes, since the primes by then are more than 18 digits long.
The 10 best The 10 best mathematicians. Alex Bellos selects the maths geniuses whose revolutionary discoveries changed our world.
Pythagoras, from a s textbook. Alex Bellos. Pythagoras circa BC Vegetarian mystical leader and number-obsessive, he owes his standing as the most famous name in maths due to a theorem about right-angled triangles, although it now appears it probably predated him.
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