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Upper bound $\Lambda \le 0.1787854$ on the de Bruijn-Newman constant

Claims $\Lambda \le 893927/5000000 = 0.1787854$ , below the standing reviewed record of $0.2$ and the unreviewed $0.1875$ of July 2026. The Riemann hypothesis is $\Lambda \le 0$ ; Newman's complementary conjecture $\Lambda \ge 0$ , his "quantitative version of the dictum that the Riemann hypothesis, if true, is only barely so", was proved by Rodgers and Tao in 2018 and reproved more directly by Dobner. De Bruijn's original bound was $\Lambda \le 1/2$ , and lowering it is one way of measuring progress toward RH. The frontier "Upper bounds for the de Bruijn-Newman constant" tracks these steps and links this entry from its 20 August 2026 row. Tighter bounds and the exact value remain open.

Exact FrontierDelta

Prior state unknown→proved

Scope and record

Occurred: Aug 20, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: announcement. AI contribution: ai-assisted. VibeMathed editorial classifications, scores, notes, relations, and dataset structure are CC BY 4.0. Source statements and linked content retain their own rights.

Canonical aliases: Upper bound $\Lambda \le 0.1787854$ on the de Bruijn-Newman constant · Λ ≤ 0.1787854

Confidence: Not scored

Registry verification: unreviewed · announcement · partial

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Attribution

VibeMathed
registry · event recorded by

Claude
model · ai model contributor · maker attribution ambiguous: Anthropic, OpenAI

ChatGPT
model · ai model contributor · maker attribution ambiguous: Anthropic, OpenAI

Codex (versions undisclosed)
model · ai model contributor · maker attribution ambiguous: Anthropic, OpenAI

Jude Gomila
human · human collaborator

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VibeMathed record: Upper bound $\Lambda \le 0.1787854$ on the de Bruijn-Newman constant

specialist registry · passed

Read at the repository on 12 September 2026: the release, the sealed manifest, the referee report and the bibliography. The claim is Polymath15's Theorem 1.2 instantiated at exact parameters $X = 6000000185827$ , $t_0 = 129/800$ , $y_0^2 = 87677/2500000$ , with fail-closed Arb interval certificates; unconditional in form, using RH only up to the finite Platt-Trudgian height. The referee report is an adversarial AI panel that calls itself no substitute for human review, found no fatal defect and left three items needing human sign-off. Nothing was rerun here: neither the certificates nor the parameter check against Theorem 1.2. The standing reviewed record is 0.2, Polymath15's criterion at Platt-Trudgian's height; the intermediate 0.1875 (Mosaic Intelligence, July 2026) is also unreviewed. Announcement reflects repository-only publication.

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Upper bound $\Lambda \le 0.1787854$ on the de Bruijn-Newman constant

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Primary source named by the VibeMathed record. Presence in this import is not an independent mathematical verification.

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VibeMathed record: Upper bound $\Lambda \le 0.1787854$ on the de Bruijn-Newman constant evidence for this event

Upper bound $\Lambda \le 0.1787854$ on the de Bruijn-Newman constant evidence for this event

Upper bound $\Lambda \le 0.1787854$ on the de Bruijn-Newman constant parent of this event

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