Fermat's Enigma
The Epic Quest to Solve the World's Greatest Mathematical Problem
Simon Singh · 1997 · Science
11 min · 10 chaptersNarrated in your voice
Original summary · AI-drafted, human-published · added by Library
What it's about
Singh tells the story of Andrew Wiles's decade-long, secret pursuit of a proof for Fermat's Last Theorem, a claim scribbled in a margin in 1637 that resisted every mathematician for 358 years. The book argues that mathematics is not a dry accumulation of facts but a human drama of obsession, failure, and slow-built certainty, and it uses one problem's history to show how proof, unlike evidence in other sciences, is absolute and how that absoluteness shapes the culture of the people who chase it.
Reading plan
Pick a finish date and Genius lays out the days — the plan shows today's target and keeps you honest.
Read together
Start a circle and share the code — everyone sees everyone's honest place in the book. Accountability, not leaderboards.
Who it's for
- Readers curious about mathematics who never connected with it in school - Anyone drawn to stories of long, obsessive personal quests - People who want to understand why mathematical proof differs from scientific evidence
What’s inside
- 1A Margin Too Small1 min
A single unproven claim, left by an amateur without explanation, can organize centuries of professional effort more effectively than any funded research program.
- 2Pythagoras and the Roots of the Problem1 min
Fermat's theorem is not an isolated riddle but a direct descendant of the oldest number-theory obsession in Western mathematics, the search for perfect numerical harmony.
- 3Three Centuries of Failure1 min
Repeated failure by history's greatest mathematicians on the same problem shows that raw talent is not the same resource as the right conceptual tool at the right time.
- 4A Japanese Bridge to an Old Problem1 min
The eventual path to Fermat's theorem came from a completely unrelated area of mathematics, showing that deep problems are often solved sideways rather than head-on.
- 5Wiles's Seven Years in Secret1 min
Solving a problem this size required abandoning the normal rhythm of mathematical work, including its openness, in favor of prolonged, isolated concentration.
- 6The Announcement and the Hidden Flaw1 min
A public proof is not finished until it survives scrutiny, and the gap between 'announced' and 'verified' can be as consequential as the gap between conjecture and proof.
- 7What the Proof Cost and What It Bought1 min
A 358-year-old problem was worth pursuing not for its practical applications, which are negligible, but for what the pursuit forced mathematics to build.
About Simon Singh
Simon Singh is a British science writer with a PhD in particle physics from Cambridge. He worked as a BBC television producer before turning to books on mathematics and cryptography, including 'The Code Book' and 'Big Bang', and is known for making technical history accessible without diluting its substance.
What readers say
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