Keywords:-

Keywords: Prime numbers, successive primes, gaps.

Article Content:-

Abstract

In this work, gaps between successive primes are analyzed. The range-wise distinct gap values, maximum gap, its occurrence frequency, the minimum gap, its occurrence frequency, gap occurring more and lesser times are analyzed for all primes in the range of 1 to 1 trillion.

References:-

References

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Neeraj Anant Pande, “Evolution of Algorithms: A Case Study of Three Prime Generating Sieves”, Journal of Science and Arts, Year 13, No.3(24), pp. 267-276, 2013.

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Neeraj Anant Pande, “Analysis of Primes in Arithmetical Progressions 4n + k up to a Trillion”, International Journal of Mathematics and Computer Applications Research, Vol. 5, Issue 4, pp. 1-18, 2015.

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Neeraj Anant Pande, “Analysis of Primes in Arithmetical Progressions 7n + k up to a Trillion”, International Journal of Mathematics and Its Applications, Volume 4, 2-A, pp. 13-30, 2016.

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Neeraj Anant Pande, “Spacings Between and Units & Tens Place Digits in Primes till One Trillion in Arithmetical Progressions 8n + k”, American International Journal of Research in Science, Technology, Engineering and Mathematics, 15 (1), pp. 1 - 7, 2016.

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Neeraj Anant Pande, “Spacings Between and Units & Tens Place Digits in Primes till One Trillion in Arithmetical Progressions 9n + k”, International Journal of Mathematics and Statistics Invention, Volume 4, Issue 5, pp 13-20, 2016.

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Neeraj Anant Pande, “Spacings Between and Units & Tens Place Digits in Primes till One Trillion in Arithmetical Progressions 11n + k”, International Journal of Mathematics and Computer Research, Volume 4, Issue 6, pp. 1493 – 1501, 2016.

Yitang Zhang, “Bounded Gaps between Primes”, Annals of Mathematics, 179 (3), pp. 1121–1174, 2014.

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Pande, N. A. (2016). Gaps in Successive Primes till 1 Trillion. International Journal Of Mathematics And Computer Research, 4(10), 1643-1649. Retrieved from https://ijmcr.in/index.php/ijmcr/article/view/76