Chapter 3

"Correct." Whitfield sounds almost disappointed. "Now, if we could move on to—""But that's not the interesting part, sir."Whitfield stops, turns. "Oh?""The interesting part is that your sequence is wrong."You could hear a pin drop."Excuse me?" Whitfield's voice has an edge now."You wrote 2, 6, 12, 20, 30 on the board. But look at the projection screen behind you."Every head turns. The screen mirrors the digital board, but something is off. Due to a glitch in the mirroring software, one number appears twice. The sequence on screen reads: 2, 6, 12, 20, 20, 30."If your sequence actually has 20 twice, then the formula breaks down, which means either there's a transcription error or you meant a different problem." Elijah adjusts his glasses. His voice is still quiet, but steadier now. "In mathematics, we're supposed to verify our assumptions first. That's what you taught in your 2018 paper on axiomatic systems. I read it."Silence. Complete, absolute silence.Then, from the back of the auditorium, someone laughs. Not at Elijah—at the situation. At the fact that a 10-year-old just corrected Dr. Lawrence Whitfield using Whitfield's own methodology.In Roxbury, the community center erupts. Kids jump out of their seats, screaming. Dr. Okonkwo covers her mouth with both hands, tears already forming.On stage, Whitfield stares at the screen. His face has gone pale. He just got fact-checked by a child he tried to humiliate, and everyone saw it.Whitfield recovers quickly. You do not become a department head at MIT without learning how to handle embarrassment."Well," his smile is tight. "Congratulations on your reading comprehension. Now, your actual presentation. You have five minutes."Elijah's hands shake as he connects his flash drive to the presentation system. What appears on screen makes several audience members blink in confusion: hand-drawn graphs, colored pencils, uneven handwriting. It looks like a child's homework assignment, because it is."Dr. Whitfield, your conjecture asks if every planar graph can be colored with four colors. The rule is that no two regions sharing an edge can have the same color, and this has to work even when the graph extends infinitely." Elijah's voice is soft but clear. He has practiced this part a hundred times in front of his bathroom mirror. "Dr. Hartwell first asked this question in 1987. Since then, hundreds of mathematicians have tried to solve it. Nobody has succeeded."He clicks to the next slide: a simple animation showing finite graphs versus infinite ones."The four-color theorem works for finite graphs. We know that for sure. But the infinite case is where everyone gets stuck."

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