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Abstract

The Hardy–Littlewood twin prime constant is a metric to compute the distribution of twin primes. Using Prime Generator Theory (PGT) it is shown it is more easily mathematically and conceptually derived, and the correct value is a factor of 2 larger.

References:-

References

Jabari Zakiya – On The Infinity of Twin Primes and other K-tuples.

International Journal of Mathematics & Comp Research (IJMCR), Vol 13 No 1 (2025), 4739–4761.

https://ijmcr.in/index.php/ijmcr/article/view/867/678 (pdf)

(Simplest) Proof of Twin Primes and Polignac’s Conjectures. Jabari Zakiya, 2021, video; https://www.youtube.com/watch?v=HCUiPknHtfY

Jabari Zakiya – Twin Primes Segmented Sieve of Zakiya (SSoZ) Explained. J Curr Trends Comp Sci Res 2(2), (2023), 119–147.

https://www.opastpublishers.com/open-access-articles/twin-primes-segmented-sieve-of-zakiya-ssoz- explained.pdf

PRIMES-UTILS HANDBOOK. Jabari Zakiya, 2016; https://www.academia.edu/19786419/PRIMES_UTILS_HANDBOOK

Polignac’s Conjecture; Wiki2, https://wiki2.org/en/Polignac%27s_conjecture

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Zakiya, J. (2025). Derivation|Correction of Hardy-Littlewood Twin Prime Constant using Prime Generator Theory (PGT). International Journal Of Mathematics And Computer Research, 13(10), 5833-5840. https://doi.org/10.47191/ijmcr/v13i10.19