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Elusive twins

A major advance towards the twin prime conjecture
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Chaos in the brain

Saying that someone is a chaotic thinker might seem like an insult - but, according to Lewis Dartnell, it could be that the mathematical phenomenon of chaos is a crucial part of what makes our brains work.
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Cracking codes, part II

In the second of two articles, Artur Ekert visits the strange subatomic world and investigates the possibility of unbreakable quantum cryptography.

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The magical mathematics of music

According to Shakespeare, music is the food of love. But Jeffrey Rosenthal follows Galileo's observation that the entire universe is written in the language of mathematics - and that includes music.