+- MKLab (https://mklab.gr)
+-- Forum: [INDEX] (https://mklab.gr/forumdisplay.php?fid=1)
+--- Forum: MATHEMATICS (https://mklab.gr/forumdisplay.php?fid=3)
+---- Forum: ARTICLES (https://mklab.gr/forumdisplay.php?fid=13)
+---- Thread: Twin prime [WIKIPEDIA] (/showthread.php?tid=370)
Twin prime [WIKIPEDIA] - mklabgr - 06-14-2026
Summary
The Wikipedia article on twin primes describes pairs of prime numbers that differ by exactly 2, such as (3, 5), (11, 13), and (17, 19). It explains their central role in number theory and highlights key questions about their distribution, especially the famous twin prime conjecture, which proposes that there are infinitely many such pairs, although this remains unproven.
The article also outlines major progress toward this conjecture, including results showing that there are infinitely many prime pairs with bounded gaps (not necessarily 2), most notably Yitang Zhang’s breakthrough and subsequent improvements by collaborative efforts such as the Polymath Project. Overall, twin primes are presented as a simple-to-state but deeply difficult problem that connects elementary arithmetic with some of the most advanced techniques in modern analytic number theory.
ARTICLE