Beal Conjecture
All Humanity Fakes Its Disappearance, and I'm Livestreamed Building a Spaceship
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- Original Name:
- 比尔猜想 (bǐ ěr cāi xiǎng)
- Gender:
- Neutral
- Kind:
- Concept
- Scope:
- Novel-specific
- Status:
- Active
- Source:
- AI
- Occurrences:
- 52
- Chapters:
- 15
- Context Up To:
- Ch. 50
- Wiki Model:
- GPT-6.1 Sol
- Updated:
Biodata
| Feature | Value |
|---|---|
| Name | Beal Conjecture |
| Original Name | 比尔猜想 |
| Type | Mathematical conjecture 12 |
| Proposed By | Francis Beal, a Texas banker and self-taught mathematician 12 20 |
| Year Proposed | 1993 12 |
| Status | Proved by Jiang Ye; publicly confirmed by Beal and mathematical institutions 20 |
| First Appearance | Listed among the system’s ten required conjectures 9 |
Background
Beal proposed the conjecture in 1993 after studying Fermat’s Last Theorem and named it after himself. He offered US$1 million to anyone who solved it, making the prize a major source of public interest when Jiang Ye began working on it 12.
The system placed the Beal Conjecture ninth on a list of ten mathematical problems Jiang Ye had to solve before moving on to other disciplines. Jiang Ye began with Zhou’s Conjecture, then tackled Beal’s immediately afterward 9 11.
Proof History
| Milestone | Chapter | Details |
|---|---|---|
| Initial attempt | 11 | Jiang Ye began his proof after completing Zhou’s Conjecture. Pierre’s assistant alerted him to the new attempt, drawing Pierre into the livestream. |
| Knowledge barrier | 14 | Jiang Ye stopped because his textbook knowledge was insufficient. He sought recent mathematical papers and journals, eventually learning about viXra, arXiv, and bioRxiv. |
| Further study | 15 18 | Concerned that the internet might stop working, Jiang Ye activated the Ultimate Learning State to absorb online mathematical research. |
| Competing attempts | 16 | Young scholars worldwide studied his unfinished proof and tried to complete it. A professor in the Sam Empire judged the first half sound and encouraged students to pursue the prize. |
| Resumption | 18 19 | After investigating a falling satellite, Jiang Ye returned to the library and resumed the proof in the Ultimate Learning State. His writing became more than ten times faster than during the first half. |
| Coordinated verification | 19 | Leon and other eminent mathematicians in Paris pooled their efforts to check the calculations. Similar verification groups formed at mathematical institutions worldwide. |
| Completion | 20 | Ten minutes and one second into the resumed work, Jiang Ye stopped writing and gathered his proof pages. |
| Public confirmation | 20 | At 14:35, Beal publicly declared the proof completely correct. Mathematical organizations also announced their recognition of Jiang Ye’s success. |
The Unfinished Proof
- Unfamiliar methods: Young scholars admired mathematical tools and calculation methods in the first half that they had never encountered before 16.
- Competition for credit: Some researchers sought both the prize money and the prestige of completing the conjecture. Domestic commentators urged Dragon Country’s young scholars not to let overseas competitors claim the achievement 16.
- Senior mathematicians’ restraint: Leading mathematicians refrained from completing Jiang Ye’s unfinished work, believing that claiming such an achievement would damage rather than enhance their reputations 16.
- No successful continuation shown: The gifted scholars at the Ivy League’s Eight Member Schools could not determine how to continue from the first half before Jiang Ye resumed 19.
Prize
| Offer | Conditions | Source |
|---|---|---|
| US$1 million | Original reward for solving the conjecture | 12 |
| US$1 million guaranteed; US$5 million for success | Beal promised Jiang Ye a million dollars regardless of the outcome, praising his dedication despite apparent danger | 19 |
| US$5 million confirmed | After verifying the proof, Beal promised to deliver the money personally when Jiang Ye returned to Dragon Country; payment is not shown in the provided chapters | 20 |
Academic Recognition
- Difficulty classification: A young scholar’s public explanation placed the Beal Conjecture in a subjective “third tier,” above Zhou’s Conjecture. The scholar acknowledged that the boundary between the second and third tiers was disputed 13.
- Fields Medal discussion: The same explanation described proving a third-tier problem as an achievement approaching Fields Medal recognition, or at least a nomination, for someone under forty. This prompted speculation about Jiang Ye rather than an announced nomination 13.
- Prospective professorship: An anonymous Shuimu University professor claimed that solving the conjecture would earn Jiang Ye an exceptional appointment as a mathematics professor 13.
- Methodological importance: The International Mathematical Union praised the impact of the proof and emphasized that Jiang Ye’s mathematical tools deserved further consideration 20.
- Proposed theorem name: The Paris Institute for Advanced Mathematical Studies announced that the resulting theorem would be named “JiangYe” 20.
Story Role
- Challenge to claims of madness: Dragon Country’s mathematics community cited the correctness of the proof as evidence that Jiang Ye’s mental state was normal 20.
- Transition to Goldbach’s Conjecture: Jiang Ye immediately began a new proof after putting the Beal pages aside. The mathematicians following his work shifted their attention to Goldbach’s Conjecture 20 21.
- Expansion of the livestream’s academic audience: News of the Beal proof brought additional mathematicians to the broadcast, including Andrew Granville at the University of Montreal 21.
Appearances
52
Total mentions
15
Chapters appeared
3.47
Avg. per chapter