Abstract
We survey some past conditional results on the distribution of large gaps between consecutive primes and examine how the Hardy–Littlewood prime k-tuples conjecture can be applied to this question.
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Notes
- 1.
Selberg also proved an unconditional estimate that we are not concerned with in this paper.
- 2.
Recent work [1] has determined that C = 0.84 is acceptable.
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Acknowledgements
The authors wish to express their sincere gratitude and appreciation to the anonymous referee for carefully reading the original version of this paper and for making a number of very helpful comments and suggestions.
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Funkhouser, S., Goldston, D.A., Ledoan, A.H. (2018). Distribution of Large Gaps Between Primes. In: Pintz, J., Rassias, M. (eds) Irregularities in the Distribution of Prime Numbers. Springer, Cham. https://doi.org/10.1007/978-3-319-92777-0_3
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