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Zhang Yitang is proof that for mathematicians, life begins at 40

Middle-aged Chinese researcher's prime numbers breakthrough is more evidence that the days of the maths whiz kid are well and truly over

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Zhang Yitang
Tom Yam

No mathematician should ever allow himself to forget that mathematics, more than any art or science, is a young man's game," the British mathematician G.H. Hardy wrote in A Mathematician's Apology. But the older guys are now catching up.

Since Hardy wrote those lines in 1940, it has been conventional wisdom that mathematical breakthroughs are most often made in a moment of brilliance by a born genius at a young age, rather than an experienced practitioner after decades of work.

Last month, however, Zhang Yitang, a 50-year-old lecturer in mathematics at the University of New Hampshire, defied Hardy's glib assertion. Zhang, who had not published any original work since 2001, submitted a paper to the peer-reviewed Annals of Mathematics in which he solved one of the most longstanding and difficult problems in pure maths. His proof - that there are an infinite number of consecutive pairs of prime numbers (those that are divisible only by 1 and themselves such as 3, 5, 7, 11) separated by less than 70 million - may be meaningless to the layperson, but to number theorists it is earth-shaking.

The fact that Zhang is well into middle age gives hope to legions of mid-career mathematicians oppressed by Hardy's dictum that groundbreaking work in their field should be left to the young.

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