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Some heuristics on the gaps between cons...

Wolf, Marek...

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Some heuristics on the gaps between consecutive primes by Wolf, Marek ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	31-07-2023
Summary	We propose the formula for the number of pairs of consecutive primes $p_n, p_{n+1}<x$ separated by gap $d=p_{n+1}-p_n$ expressed directly by the number of all primes $<x$, i.e. by $\pi(x)$. As the application of this formula we formulate 7 conjectures, among others for the maximal gap between two consecutive primes smaller than $x$, for the generalized Brun's constants and the first occurrence of a given gap $d$. Also the leading term $\log \log(x)$ in the prime harmonic sum is reproduced from our guesses correctly. These conjectures are supported by the computer data.
ISBN	-
Item Type	Article
File Type	pdf
File Size	37.08 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1102.0481

Citation

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AMA 11th EditionReferences

Wolf, Marek. Some heuristics on the gaps between consecutive primes. N.A. July 31, 2023. Accessed September 19, 2024. https://online.provdatabase.com/cite/2665

APA 7th EditionReferences

Wolf, Marek. (2023). Some heuristics on the gaps between consecutive primes. N.A. https://online.provdatabase.com/cite/2665

Chicago 17th EditionReferences

Wolf, Marek. Some heuristics on the gaps between consecutive primes. N.A. 2023. https://online.provdatabase.com/cite/2665

HarvardReferences

Wolf, Marek. (2023). Some heuristics on the gaps between consecutive primes. [Online]. N.A. Available from: https://online.provdatabase.com/cite/2665. (Accessed 19 September 2024).

Harvard AustraliaReferences

Wolf, Marek, 2023, Some heuristics on the gaps between consecutive primes, N.A, viewed 19 September 2024, <https://online.provdatabase.com/cite/2665>

MLA 9th EditionWorks Cited

Wolf, Marek. Some heuristics on the gaps between consecutive primes. N.A, 2023. PROV Database, https://online.provdatabase.com/cite/2665.

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