Terence Tao does not need an introduction, but he got one anyway: youngest-ever International Maths Olympiad competitor at ten, UCLA professor for three decades, a MacArthur Fellowship, a Fields Medal, and a blog that became the de facto town square when OpenAI's recent proof-generation release — the so-called "mathpocalypse" — sent the research community scrambling for bearings. Now, at 51, he has written his first book aimed at people who are not professional mathematicians. The puzzle presented here is a teaser from Six Maths Essentials, and it works exactly the way Tao says it does. You have mother plants (which produce a coin and two seeds daily, each seed becoming a regular plant the next day) and regular plants (one coin per day). You start Day 1 with a mother plants, b regular plants, and c coins, each between 0 and 9. The task escalates: find totals at Day 2 and Day 3, derive a general expression for Day X, then reverse-engineer a, b, and c from a Day 10 total of 427 coins. The beauty of the puzzle is pedagogical, not competitive. You can brute-force the first two parts by hand, counting plants and coins on your fingers. But the third part — reconstructing initial conditions from a single endpoint — punishes the hand-counter and rewards anyone willing to set up the algebra. That escalation is the point. Tao is not testing whether you can do arithmetic. He is showing you why abstraction exists: because at some scale, concrete enumeration stops being civilized. This is recreational mathematics in the tradition of Martin Gardner's Scientific American columns, but with a specific teaching agenda. Gardner delighted in surprise; Tao is more interested in the moment when you feel the tool click into place. The puzzle's plant-and-seed mechanic is essentially a recurrence relation dressed in game-design language, and the "find a, b, c" reversal at the end is a gentle constraint-satisfaction problem. Neither concept is named in the puzzle. You discover them by doing. The Guardian column also serves as a megaphone for the book launch. Six Maths Essentials publishes tomorrow and is available through the Guardian Bookshop. The column asks readers to avoid spoilers and instead discuss the mathpocalypse — a neat bit of community management that turns a puzzle column into a forum for the biggest live question in mathematical research: what happens when AI can generate proofs faster than humans can verify them. For readers who bounced off math after school, this is a genuinely low-barrier entry point. The numbers are small, the rules are clear, and the payoff is the satisfying sensation of a general formula snapping into focus. For readers already comfortable with algebra, the pleasure is watching Tao design a problem that teaches without lecturing. Either way, the puzzle takes about fifteen minutes and costs nothing but attention.
