Prime numbers – do they go on for ever? – Marcus du Sautoy and Alan Davies

Marcus du Sautoy explains to Alan Davies Euclid’s proof of why there must be an infinite number of prime numbers. Using the example of multiplying 2 x 3 x 5 x 7 x 11, then adding 1


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"The mathematician's patterns, like the painter's or the poet's, must be beautiful; the ideas, like the colours or the words, must fit together in a harmonious way. " G H Hardy, A Mathematician's Apology (London 1941).

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