Twin, cousin, and sexy prime counting function. Explicit formulas

UDC 511 We give explicit formulas for the twin-prime and cousin-prime counting functions. We propose a formula that computes the number of primes less than or equal to $n$  whose difference is $m\geqslant 6.$ We also present a characterization specifying when t...

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Bibliographic Details
Date:2024
Main Author: Kowitz, Krzysztof
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2024
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7567
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal