| Title | Mind the Gap |
|---|---|
| Contributor | David H. Silver(author) |
| DOI | https://doi.org/10.11647/OBP.0526.08 |
| Landing page | https://www.openbookpublishers.com/books/10.11647/obp.0526/chapters/10.11647/obp.0526.08 |
| License | https://creativecommons.org/licenses/by-nc/4.0/ |
| Copyright | David H. Silver |
| Publisher | Open Book Publishers |
| Published on | 2026-04-08 |
| Long abstract | In 2013, an unaffiliated Yitang Zhang proved there exists a finite bound B (initially 70,000,000) such that infinitely many prime pairs differ by at most B. While prime gaps can grow arbitrarily large, this breakthrough showed they cannot drift apart arbitrarily far. The Polymath8 collaboration subsequently reduced this bound to a few hundred. Zhang’s approach combined distribution properties of primes in arithmetic progressions with an advanced sieving technique, resolving a fundamental question about number patterns while falling short of proving the Twin Prime Conjecture that infinitely many primes differ by exactly 2. |
| Print length | 10 pages |
| Language | English (Original) |
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| Landing Page | Full text URL | Platform | |||
|---|---|---|---|---|---|
| https://www.openbookpublishers.com/books/10.11647/obp.0526/chapters/10.11647/obp.0526.08 | Landing page | https://books.openbookpublishers.com/10.11647/obp.0526.08.pdf | Full text URL |
David H. Silver is an industrial researcher whose career bridges computer vision, computational biology, and science communication. He studied mathematics, computer science, and biology at the Technion — Israel Institute of Technology as a Rothschild Scholar, and was awarded a Microsoft Research PhD Fellowship for his doctoral work in computational biology at Cambridge, UK. Silver’s peer-reviewed publications span multiple domains: computational biology in Nature and PNAS; computer vision systems in IEEE Transactions on Pattern Analysis and Machine Intelligence; medical AI in Human Reproduction and MIDL; and entertainment analysis in PLoS One. He holds over a dozen patents in depth sensing, medical imaging, and generative AI. His industry positions include Algorithm Engineer at Intel Corporation, ML Researcher at Apple, and CTO/co-founder roles at several technology startups. Silver maintains academic collaborations with researchers worldwide and serves as a peer reviewer for Image and Vision Computing and PNAS.