In Our Time12 Jan 2006

Prime Numbers

Melvyn Bragg and guests discuss prime numbers: 2, 3, 5, 7, 11, 13, 17 … This sequence of numbers goes on literally forever. Recently, a team of researchers in Missouri successfully calculated the highest prime number - it has 9.1 million digits. For nearly two and a half thousand years, since Euclid first described the prime numbers in his book Elements, mathematicians have struggled to write a rule to predict what comes next in the sequence. The Swiss mathematician Leonhard Euler feared that it is "a mystery into which the human mind will never penetrate." But others have been more hopeful... In the middle of the nineteenth century, the German mathematician Bernhard Riemann discovered a connection between prime numbers and a complex mathematical function called the 'zeta function'. Ever since, mathematicians have laboured to prove the existence of this connection and reveal the rules behind the elusive sequence. What exactly are prime numbers and what secrets might they unlock about our understanding of atoms? What are the rules that may govern the prime sequence? And is it possible that the person who proves Riemann's Hypothesis may bring about the collapse of the world financial system? With Marcus du Sautoy, Professor of Mathematics and Fellow of Wadham College at the University of Oxford; Robin Wilson, Professor of Pure Mathematics at the Open University and Gresham Professor of Geometry; Jackie Stedall, Junior Research Fellow in the History of Mathematics at Queen's College, Oxford.

Det här avsnittet är hämtat från ett öppet RSS-flöde och publiceras inte av Podme. Det kan innehålla reklam.

Avsnitt(1101)

Seashells

Misha Glenny and guests discuss a familiar feature of our beaches: seashells, from their astonishing shapes and patterns that teach us about Earth’s oceans, to the ways that humans have treasured shel...

30 Juli 53min

Vigée Le Brun

Misha Glenny and guests discuss the French portrait painter Élisabeth Vigée Le Brun (1755 - 1842). From her teens she delighted her high society subjects in and around Paris, notably Marie Antoinette ...

23 Juli 56min

The Delian League

Misha Glenny and guests discuss the origins and evolution of an alliance which transformed the geopolitics of the classical world: the Delian League. Since the start of the 5th Century BCE, city state...

16 Juli 54min

Machado de Assis

Misha Glenny and guests discuss one of the towering figures of Brazilian and world literature, Machado de Assis (1839 - 1908). He was the descendant of slaves and built his career while slavery was s...

9 Juli 53min

The Global Story - The soft power superpower, with Roman Mars

As 4th July approaches, we think you’ll like this episode of The Global Story. All week, The Global Story podcast is exploring the surprising and often hidden ways the US has shaped the modern world. ...

3 Juli 27min

The Evolution of Trees

Misha Glenny and guests discuss the earliest evidence we have of the existence of trees and how even plants we might have on windowsills or as vegetables in gardens can and do, in the right conditions...

2 Juli 54min

The Welsh Marches

At the Hay Festival, Misha Glenny and guests discuss the impact of the Norman invasion on the people and land of Wales and across the modern border with England in what became known as The Welsh March...

25 Juni 52min

The Levellers

Misha Glenny and guests discuss the group which came to be known as the Levellers and emerged during what would become arguably one of the bloodiest and most turbulent periods of English history. Afte...

18 Juni 55min