Chapter Summaries

Jiang Ye continued working on Goldbach's Conjecture, drawing worldwide attention and prompting the show's directors to debate whether to intervene. The chapter ended with mathematician Andrew Granville recognizing Jiang Ye's written statement of the conjecture and staring at it in astonishment.

• Mathematicians around the world flocked to Jiang Ye's livestream, hoping to find errors in his work on Goldbach's Conjecture.
• Viewers argued that Jiang Ye's mathematical work was changing the show's focus away from survival and national character.
• The show's directors discussed interfering with Jiang Ye or replacing him, but decided to let him continue until he finished Goldbach's Conjecture.
• The International Mathematical Union sent the production team a document asking them to let Jiang Ye continue.
• Andrew Granville watched the livestream and recognized Jiang Ye's statement as Goldbach's Conjecture.

Jiang Ye’s work on Goldbach’s Conjecture drew scrutiny from mathematicians and sparked a global debate, while the show’s chief director faced pressure to arrange a presentation. The Ten Conglomerates told the director to postpone it and focus on stopping Jiang Ye from continuing to solve problems.

• At the École Normale Supérieure of Paris, Harald Helfgott said Jiang Ye’s approach looked promising but that he needed more time and other mathematicians’ opinions before judging the proof.
• International viewers mocked the idea that Jiang Ye could solve Goldbach’s Conjecture, while domestic viewers and scholars argued over his chances.
• Several mathematics professors said Jiang Ye might prove the conjecture, and domestic authorities announced that Terence Tao, Yun Zhiwei, Xu Chenyang, and others had confidence in him.
• The International Mathematical Union asked the chief director to arrange a presentation for more than two hundred mathematicians.
• The Ten Conglomerates told the chief director to postpone the presentation and find a way to stop Jiang Ye from continually solving problems.

Jiang Ye completed proofs of Goldbach's Conjecture, Zhou's Conjecture, and the Beal Conjecture, but the Ultimate Learning State exhausted his mental energy. As he considered how to preserve evidence of humanity for a future civilization, the chapter ended with him standing lost in thought while the other contestants pursued their own plans.

• Jiang Ye finished writing his proof of Goldbach's Conjecture and asked the system to verify it.
• The system confirmed Jiang Ye's proof was correct but deactivated the Ultimate Learning State because it had nearly exhausted his mental energy.
• Jiang Ye reflected on the coming meteorite impact and decided he had a duty to preserve traces of human civilization for future intelligent life.
• Charles searched the streets for other survivors, Larkins enjoyed his villa, Gibran played mayor at city hall, and Amaiwa Yusuke and Jin Zheyong built safe places.
• Viewers discussed Jiang Ye's stillness and warned that a nearby zoo could pose a danger if its animals escaped.

Jiang Ye decided to record his proof of Goldbach's Conjecture with explanations as a trace for a future civilization. He left the library carrying his research papers, while viewers and the production team watched to see where he would go.

• The International Mathematical Union announced that six leading professors would independently review Jiang Ye's proof of Goldbach's Conjecture.
• Universities in China and abroad offered Jiang Ye full-professor positions, prompting a public sensation.
• Jiang Ye decided to make a video explaining his proof of Goldbach's Conjecture for a future civilization.
• Jiang Ye packed his research papers into three folders and left the library, relieving the production team.
• Viewers noticed Jiang Ye was leaving with the folders and wondered where he was headed.

Jiang Ye left the library, ate a simple dinner, and went to his university, where he began recording a message for the next intelligent civilization. The chapter then outlined how Earth would change after humanity vanished, from nuclear disasters to nature reclaiming the planet.

• Jiang Ye left the library and ate bread and milk while walking instead of seeking a luxurious meal.
• Jiang Ye entered his university and searched a teaching building for a camera with a removable memory card.
• Jiang Ye set up the camera in a classroom and introduced himself to the next intelligent civilization, saying he was from Dragon Country.
• Chen Danni explained that Jiang Ye was preserving evidence that human civilization had existed, leaving viewers around the world stunned.
• The chapter described predictions for Earth after humanity's disappearance, including failing nuclear reactors, global cooling, and cities gradually returning to wilderness.

Jiang Ye explained that he was recording humanity’s intellectual achievements for a future intelligent civilization, beginning with his proof of Goldbach’s Conjecture. As mathematicians around the world tuned in, he began detailing the Group Construction Method and the proof itself.

• Jiang Ye described humanity’s eventual disappearance and said he was preserving evidence of its civilization for whoever came next.
• Jiang Ye told the camera that he had no explanation for humanity’s disappearance or his own survival, and that he would preserve human civilization’s highest intellectual achievements, starting with mathematics.
• Viewers debated his plan, while supporters argued he might later store the recordings in Norway’s seed vault.
• Mathematicians and independent scholars returned to Jiang Ye’s livestream and listened as he introduced Goldbach’s Conjecture.
• Jiang Ye began explaining the Group Construction Method and the proof of Goldbach’s Conjecture in detail.

Jiang Ye completed his proof of Goldbach's Conjecture, convincing mathematicians around the world and the six-person review panel. He thanked the audience as applause and comments erupted across the globe.

• Jiang Ye explained the second part of his proof, applying the Group Construction Method to Goldbach's Conjecture.
• James Maynard recognized Jiang Ye's use of Bombieri's Theorem and accepted that the proof worked.
• Helfgott and the six-person review panel found Jiang Ye's argument rigorous and said they had no further questions.
• Two elderly men at the Dragon Country Mathematics Institute wept with pride over Jiang Ye's achievement.
• Jiang Ye completed the proof, faced the camera, and thanked the audience as worldwide applause broke out.

After Jiang Ye’s Goldbach’s Conjecture proof was confirmed, institutions and audiences around the world celebrated his achievement while viewers argued over his continued focus on mathematics. Dragon Country officials decided to try to bring him home for his safety, while the International Mathematical Union discussed keeping him on the show to pursue mathematics.

• The International Mathematical Union confirmed Jiang Ye’s proof of Goldbach’s Conjecture was completely correct, prompting global media attention and offers from his former university and Princeton’s Institute for Advanced Study.
• Foreign viewers criticized the show for letting Jiang Ye solve mathematics problems instead of taking part in survival activities, while Dragon Country viewers argued over whether he should return home.
• After recording a video, Jiang Ye went home and fell asleep.
• Elder Wang and Elder Yang urged caution about bringing Jiang Ye home, but Zhang Puze argued that his growing prominence made him more vulnerable and that officials could support him after his return.
• The old man in the Zhongshan suit ordered Zhang Puze to try to bring Jiang Ye back despite the Ten Conglomerates’ opposition.
• Carlos and other International Mathematical Union members discussed keeping Jiang Ye on the show and persuading its production team to let him continue studying mathematics.

The production team agreed to keep Jiang Ye on the program while steering him away from math, hoping he would embarrass himself and weaken Dragon Country’s pride. The next morning, Jiang Ye planned his use of the learning states and headed for a police station to obtain a gun, while viewers speculated about his destination.

• The production directors decided not to intervene when Jiang Ye left the library, but grew furious when he went to a university and explained Goldbach's Conjecture.
• A DuPont Consortium representative told the directors that the International Mathematical Union wanted Jiang Ye kept on the program without interference, while Dragon Country wanted him replaced.
• The representative said the ten major consortiums wanted Jiang Ye to remain but be steered away from math, and proposed buying off Dragon Country people to turn online opinion against him.
• Jiang Ye asked the system how long he could use the Super Learning State and the Ultimate Learning State, and learned that exceeding their limits would make him fall into a coma.
• After breakfast, Jiang Ye headed alone to a nearby police station to get a gun, prompting viewers to debate where he was going.

The production team sent a tiger toward Jiang Ye’s university to force him to focus on survival, but Jiang Ye returned to a classroom and began writing a proof of the Birch and Swinnerton-Dyer Conjecture. His attempt drew the attention of mathematicians worldwide, and the chapter ended with a handsome young man in Dragon Country answering a phone call.

• The chief director ordered plan A after Jiang Ye took a police handgun and returned to the university.
• Host Chen Danni announced that the production team had brought a tiger near the university, claiming it would stay outside and only scare Jiang Ye into taking survival seriously.
• The production team showed the tiger approaching the university as Jiang Ye entered a classroom and prepared to study.
• Jiang Ye activated Ultimate Learning State and began writing a proof of the Birch and Swinnerton-Dyer Conjecture.
• Mathematicians and academic institutions around the world watched Jiang Ye’s livestream, anticipating whether he could solve another major conjecture.
• A handsome young man in Dragon Country answered a phone call.

Influencers and streamers accused Jiang Ye of being a government-backed fraud, and the backlash spread across domestic and international platforms until viewers overwhelmingly demanded that he leave the show. Zhang Puze consulted a senior official, realized Jiang Ye’s achievements could not plausibly have been staged by the state, and was ordered to crack down on the abuse.

• A verified Weibo influencer published an article claiming Jiang Ye was an ordinary man used as a government puppet, and other influencers amplified the accusations.
• Online commenters condemned Jiang Ye, demanded his removal from the show, and targeted people who defended him.
• The accusations spread internationally, where most viewers joined the calls for Jiang Ye to leave the show.
• Zhang Puze’s colleagues questioned whether the state was secretly supporting Jiang Ye, so Zhang called a senior official for clarification.
• The senior official told Zhang that Jiang Ye’s three solved conjectures were too valuable for anyone to hand over, and ordered him to deal severely with those abusing the national hero.

Zhang Puze decided to wait for Jiang Ye to solve the Seven Millennium Prize Problems before using an official explanation to counter online suspicion that Dragon Country was backing him. As Jiang Ye continued writing proofs at remarkable speed, viewers accused him of copying, while Chen Haoyu’s deliberate campaign to expose a supposed deal gained traction.

• Zhang Puze told his colleagues that Jiang Ye solving the Seven Millennium Prize Problems would be the strongest way to turn public opinion around, and the staff began investigating the influencer who had stirred suspicion.
• The DuPont Consortium representative watched theories spread that Dragon Country had planted agents among the Ten Conglomerates and that Jiang Ye knew about the show, and he began to believe them.
• At eight o’clock, Jiang Ye had completed three Millennium Problems in half an hour, astonishing mathematicians who were studying screenshots of his written proofs.
• Online viewers increasingly accused Jiang Ye of copying proofs supplied by Dragon Country, and some called on viewers to leave and disrupt the show.
• Chen Haoyu, pleased with the backlash, had contacted media friends to investigate Jiang Ye and planned to expose what he suspected was a behind-the-scenes deal.

Chen Haoyu was arrested after his paid campaign against Jiang Ye exposed a mole, while Zhang Puze and the old leader planned to manage public opinion until Jiang Ye could finish solving the Seven Millennium Prize Problems. As Jiang Ye continued writing on the Riemann Hypothesis, viewers spotted a tiger nearing his university.

• Chen Haoyu accepted ten million US dollars from Charlie to keep attacking Jiang Ye and was promised green cards for himself and his girlfriend.
• Zhang Puze and armed personnel arrested Chen Haoyu and his girlfriend, then Zhang crushed the phone while Charlie revealed that Chen Haoyu’s argument had helped expose a mole who had been caught.
• Zhang Puze told the old leader he would delay arresting the other influencers until Jiang Ye finished solving the problems, and the old leader ordered him to curb the spreading public opinion.
• Mathematicians watching Jiang Ye work on the Riemann Hypothesis said they had not found any errors in his rapid progress.
• Viewers noticed a tiger approaching the area near Jiang Ye’s university and hurried to alert the professors.

After the International Mathematical Union and leading scientists intervened to protect Jiang Ye, the consortiums ordered the production team to anesthetize the tiger approaching his university. The tiger collapsed after being hit by a dart, leaving viewers unsure whether it had been killed or merely sedated.

• Professor Pierre saw that a tiger was nearing Jiang Ye's university and urged the International Mathematical Union to intervene.
• Carlos convened leading mathematicians, who agreed to rally scientists worldwide against the consortiums' actions.
• Charlie received a joint appeal signed by mathematicians and Nobel laureates, then reported it to the ten consortiums' superiors.
• The consortiums ordered the tiger anesthetized, and Charlie passed the instruction to the directing team.
• A dart struck the tiger in the neck, and it collapsed as viewers wondered whether it had been killed or sedated.

Jiang Ye completed correct proofs of all seven Millennium Prize Problems and began explaining them on the livestream. As he reached the Riemann Hypothesis, viewers and mathematicians around the world continued watching, while officials considered his safety.

• The production team announced that it would anesthetize the tiger after scientists worldwide demanded that it not interfere with Jiang Ye, shifting some viewers’ opinions about his work.
• Jiang Ye finished writing his proof of the Poincaré Conjecture, and the system confirmed that all seven proofs were correct.
• Jiang Ye turned on the camera and began explaining his proof of the Birch and Swinnerton-Dyer Conjecture to the livestream audience.
• Mathematicians at the Dragon Country Mathematics Council watched closely, and Deputy Head Xiang Chengnan raised concerns about Jiang Ye’s safety.
• Jiang Ye explained five conjectures and moved on to the Riemann Hypothesis as the livestream continued.

As Jiang Ye began presenting his argument for the Riemann Hypothesis, viewers and mathematicians around the world watched to see whether he could solve a Millennium Problem. Shuimu University president Li Chengyong backed Jiang Ye’s potential, while National Insight’s directors and Charlie planned to force him back to survival after his proof was finished.

• Viewers debated Jiang Ye’s credibility as they waited for leading mathematicians, including Professor Faltings, to respond to his work on the Riemann Hypothesis.
• Students, teachers, and professors from Shuimu University’s mathematics department gathered to watch Jiang Ye’s presentation, while the faculty studied his equations with cautious hope.
• President Li Chengyong told his secretary that Jiang Ye had already become the face of Dragon Country’s younger mathematicians and could give the university a chance to witness history.
• The National Insight chief director asked Charlie whether the production team should replace Jiang Ye if his argument proved correct.
• Charlie rejected replacing Jiang Ye and told the directors to wake him and force him to focus on survival after he finished, saying the scientists’ nationalities could influence whether they protected him.

Jiang Ye finished presenting his proof of the Riemann Hypothesis using the Hyperelliptic Curve Analysis Method and moved on to the Poincaré Conjecture. Faltings confirmed the proof was correct, and his assistant left to share the scoop.

• Jiang Ye explained the Hyperelliptic Curve Analysis Method and concluded that it proved the Riemann Hypothesis.
• Terence Tao and Scholze watched Jiang Ye's presentation and recognized the significance of his mathematical approach.
• Faltings followed Jiang Ye's equations and identified how he had combined several mathematical tools in the proof.
• Faltings told his assistant that Jiang Ye was right and had solved the Riemann Hypothesis.
• Faltings's assistant left the room to pursue an exclusive report while Jiang Ye began presenting the Poincaré Conjecture.

After leading mathematicians confirmed that Jiang Ye had proved the Riemann Hypothesis, public opinion in Dragon Country turned against those who had accused him of cheating. At Shuimu University, students and teachers celebrated his achievement, while Zhang Puze prepared a nationwide internet crackdown called the Sunset Plan.

• Faltings and other leading mathematicians publicly confirmed that Jiang Ye had solved the Riemann Hypothesis.
• Chinese online commenters condemned influencers who had accused Jiang Ye of cheating, and viewers noticed Chen Haoyu's Weibo account no longer appeared in searches.
• Teachers and students at Shuimu University applauded and cheered as they celebrated Jiang Ye's achievement.
• Zhang Puze presented the Sunset Plan to his colleagues and directed them to begin implementing it across major internet platforms.

After officials punished millions of accounts and reversed the online backlash against Jiang Ye, the DuPont Consortium’s Charlie explained why the consortiums still wanted Jiang Ye protected and his mathematical work to continue. Jiang Ye finished recording his results and learned that he needed to study other disciplines before the system would provide the spaceship technology.

• Zhang Puze ordered departments to act against people and accounts that had fueled attacks on Jiang Ye.
• The official daily identified Chen Haoyu and published recordings of his calls with the ten major consortiums, announcing bans and fines against accounts, influencers, and platforms.
• Charlie told Chief Director William that the consortiums benefited from Jiang Ye’s mathematical research and should protect him, but keep him focused on the show’s goals.
• Jiang Ye ended his recorded message by saying he had solved the seven Millennium Problems and needed to turn to other work before destruction came.
• Jiang Ye asked the system for the next step, and it told him to study other disciplines so he could understand and use its spaceship technology.

Jiang Ye studied physics in the library while viewers debated his extraordinary learning ability. The production team tried to provoke him with a tiger, but he did not react to its roar, leaving chief director William wondering whether Jiang Ye knew he was on a show.

• Jiang Ye activated Ultimate Learning State and rapidly studied physics on a library computer.
• Chen Danni announced that the production team would wake the tiger to disrupt Jiang Ye's academic pursuits.
• Dragon Country condemned the plan, but a beast trainer injected the tiger and the production team prepared it to approach Jiang Ye.
• Staff provoked the tiger and drew its attention toward Jiang Ye, prompting it to roar.
• Jiang Ye remained absorbed in his studies, and William questioned whether he knew he was taking part in a show.