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    Vasily Ilin Posts Bounded Prime Gaps Timeline

    Tweet by Vasily Ilin lists milestones in bounded prime gaps research through 2026.

    VI
    1 Source, 26d ago, first seen 26d ago

    TLDR

    Vasily Ilin, founding director of the UW Math AI Lab, posted a tweet recounting the history of bounded gaps between primes. The post states de Polignac conjectured bounded gaps in 1849. It says Yitang Zhang proved a gap of at most 70,000,000 in 2013, Polymath8a reduced it to 4680 that year, Maynard and Tao reached 600, and Polymath8b reached 246 in 2014. The tweet notes no further progress from 2014 to 2026 before referencing an event on August 31, 2026.

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    1 Source, first seen 26d ago

    Combined views

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    1 Source, first seen 26d ago

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    1 comments
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    17 reposts

    Sentiment

    Positive——Negative

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    1 Source

    @IlinVasily29521The story of bounded gaps between primes is a crazy one. 1849: de Polignac conjectures bounded gaps 2013: Yitang Zhang shows gap <= 70,000,000 2013: Polymath8a (citizen science) show gap <= 4680 2013: Maynard & Tao independently show gap <= 600 2014: Polymath8b show gap <= 246 2014-2026: no progress 2026, August 31: Julia Stadlmann shows gap <= 240 2026, September 3, 7:56 AM: AxiomMath shows gap <= 212 2026, September 3, 10:05 AM: Astra shows gap <= 186 Formalization story: 2026, August 7: BGP600 formalized by FrenzyMath, unconditional 2026, August 18: BGP246 formalized by AxiomMath, conditional on BV 2026, August 28: BGP246 formalized by AxiomMath, unconditional 2026, September 3: BGP186 formalized by Astra, conditional on 3 axioms - Kloosterman estimates and a large numerical certificate

    1 Source

    @IlinVasily29521The story of bounded gaps between primes is a crazy one. 1849: de Polignac conjectures bounded gaps 2013: Yitang Zhang shows gap <= 70,000,000 2013: Polymath8a (citizen science) show gap <= 4680 2013: Maynard & Tao independently show gap <= 600 2014: Polymath8b show gap <= 246 2014-2026: no progress 2026, August 31: Julia Stadlmann shows gap <= 240 2026, September 3, 7:56 AM: AxiomMath shows gap <= 212 2026, September 3, 10:05 AM: Astra shows gap <= 186 Formalization story: 2026, August 7: BGP600 formalized by FrenzyMath, unconditional 2026, August 18: BGP246 formalized by AxiomMath, conditional on BV 2026, August 28: BGP246 formalized by AxiomMath, unconditional 2026, September 3: BGP186 formalized by Astra, conditional on 3 axioms - Kloosterman estimates and a large numerical certificate