"It is impossible for any number which is a power greater than the second to be written as a sum of two like powers. I have a truly marvelous demonstration of this proposition, which this margin is too narrow to contain"
About this Quote
The subtext is status. In 17th-century Europe, math circulated through letters, notes, and gentlemanly challenges, where reputation was built as much on cleverness and bravura as on publication. Fermat, a provincial magistrate with an elite hobby, wrote like someone who could afford to be elliptical. The margin line is a power move: he dictates the terms of discourse while withholding the key, creating a centuries-long scavenger hunt that flatters the faithful and taunts the skeptics.
Context sharpens the irony. Fermat’s “Last Theorem” is simple to state, maddening to prove, and in its modern resolution (Andrew Wiles, 1994) requires machinery Fermat couldn’t plausibly possess. That mismatch is why the quote endures: it’s the perfect artifact of intellectual culture before formal peer review, when genius could be both real and theatrically self-mythologizing. The margin wasn’t too narrow; the gap was the point.
Quote Details
| Topic | Science |
|---|---|
| Source | Pierre de Fermat, marginal note (c.1637) in his copy of Diophantus' Arithmetica — the famous English translation of Fermat's Last Theorem marginal note. |
| Cite |
Citation Formats
APA Style (7th ed.)
Fermat, Pierre de. (2026, February 18). It is impossible for any number which is a power greater than the second to be written as a sum of two like powers. I have a truly marvelous demonstration of this proposition, which this margin is too narrow to contain. FixQuotes. https://fixquotes.com/quotes/it-is-impossible-for-any-number-which-is-a-power-62600/
Chicago Style
Fermat, Pierre de. "It is impossible for any number which is a power greater than the second to be written as a sum of two like powers. I have a truly marvelous demonstration of this proposition, which this margin is too narrow to contain." FixQuotes. February 18, 2026. https://fixquotes.com/quotes/it-is-impossible-for-any-number-which-is-a-power-62600/.
MLA Style (9th ed.)
"It is impossible for any number which is a power greater than the second to be written as a sum of two like powers. I have a truly marvelous demonstration of this proposition, which this margin is too narrow to contain." FixQuotes, 18 Feb. 2026, https://fixquotes.com/quotes/it-is-impossible-for-any-number-which-is-a-power-62600/. Accessed 10 Mar. 2026.












