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On the infinitude of the prime numbers

Euler’s proof

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Abstract

Euclid’s elegant proof that there are infinitely many prime numbers is well known. Elder proved the same result, in fact a stronger one, byanalytical methods. This article gives an exposition of Euler’s proof introducing the necessary concepts along the way.

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Suggested Reading

  • G H Hardy, EM Wright. An Introduction to the Theory of Number. 4th ed., Oxford, Clarendon Press, 1960.

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  • Ivan Niven, Herbert S Zuckermann. An Introduction to the theory of Numbers. Wiley Eastearn Ltd., 1989.

  • Tom Apostol. An Introduction to Analytic number Theory. Narosa Publishing House. 1979.

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  1. Rishi Valley School, Rishi Valley, 517 352, Chittoor Dist., A P, India

    Shailesh A. Shirali

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  1. Shailesh A. Shirali
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Shirali, S.A. On the infinitude of the prime numbers. Reson 1, 78–95 (1996). https://doi.org/10.1007/BF02835624

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  • DOI: https://doi.org/10.1007/BF02835624

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