Fermat 8c81357625a7bdf0cd01f485812e02b1949b3dc3a3ab8476bbe24bc195acbc8c

Fermat’s Library

Fermat’s Library is a platform for illuminating academic papers. Just as Pierre de Fermat scribbled his famous last theorem in the margins, professional scientists, academics and citizen scientists can annotate equations, figures and ideas and also write in the margins. Every week we send you a new paper annotated by the community.

One-sentence proof of Fermat's theorem on sums of two squares
D. Zagier - 9 comments
A simple proof that π is irrational
Ivan Niven (1946) - 9 comments
Bitcoin: A Peer-to-Peer Electronic Cash System
Satoshi Nakamoto - 31 comments
On the Einstein Podolsky Rosen Paradox
J. S. Bell - 17 comments
A Geometric Proof that e is Irrational
Jonathan Sondow - 7 comments
Ideal Money and Asymptotically Ideal Money
John Nash - 62 comments
Evidence for Oscillation of Atmospheric Neutrinos
Super-Kamiokande Collaboration - 14 comments
A combinatorial proof of Fermat's "Little" Theorem
S.W.Golomb - 9 comments
Recursive Functions of Symbolic Expressions and Their Computation by Machine
John McCarthy - 28 comments
Studies on the Chemical Nature of the Substance Inducing Transformation of Pneumococcal Types
Oswald T. et al - 15 comments
On a generalization of the definite integral
H. Lebesgue - 5 comments
The Positive Electron
Carl D. Anderson - 13 comments
Counterexample to Euler's Conjecture on sums of like powers
L. J. Lander and T. R. Parkin - 3 comments
Shortest paper ever published in a serious Math Journal
John Conway and Alexander Soifer - 7 comments
Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels
Charles H. Bennett et al. - 11 comments
Reflections on Trusting Trust
Ken Thompson - 10 comments
Molecular Structure of Nucleic Acids
J. D. Watson, F. H. Crick - 8 comments
Irrationality of √m
Harley Flanders - 6 comments
Fermat's Last Theorem in Combinatorial Form
W. V. Quine - 3 comments
End to the Cosmic-Ray Spectrum?
Kenneth Greisen - 8 comments
A new proof of Euclid's Theorem
Filip Saidak - 16 comments
Irrationality of √2, a geometric proof
Tom Apostol - 4 comments
Feynman's derivation of the Schrodinger equation
David Derbes - 14 comments
TOR: The second generation onion router
Roger Dingledine, Nick Mathewson, Paul Syverson - 15 comments
Feynman's proof of the Maxwell equations
Freeman Dyson - 11 comments
Observation of Gravitational Waves from a Binary Black Hole Merger
B. P. Abbott et al. - 20 comments
The transcendence of π
Ivan Niven - 21 comments
Agrarian Justice
Thomas Paine - 15 comments
Cassini, Rømer and the velocity of light
Bobis L. & Lequeux J. - 14 comments
Water extraction on Mars for an expanding human colony
Ralphs M., Franz B., Baker T., Howe S. - 14 comments
A pendulum theorem
D. J. Acheson - 8 comments
How to explain zero-knowledge protocols to your children
Jean-Jacques Quisquater, Louis Guillou , Marie Annick, Tom Berson - 5 comments
A really trivial proof of the Lucas-Lehmer test
J. W. Bruce - 17 comments
Many lives in many worlds
Max Tegmark - 16 comments
New proof of a minimum property of the regular n-gon
L.F Toth - 9 comments
A Relation between Distance and Radial Velocity among Extra-Galactic Nebulae
Edwin Hubble - 13 comments
An elementary treatment of the Feynman sprinkler
Alejandro Jenkins - 8 comments
The Historical Development of Computer Chess and its Impact on Artificial Intelligence
David Heath, Derek Allum - 13 comments
Decreasing-Rate Pruning Optimizes the Construction of Efficient and Robust Distributed Networks
Saket Navlakha, Alison L. Barth and Ziv Bar-Joseph - 24 comments
Folding Paper in Half
Gaurish Korpal - 9 comments
The Parallel Climbers Puzzle
Alan Tucker - 5 comments
Are You Living In a Computer Simulation?
Nick Bostrom - 26 comments
How to Share a Secret
Adi Shamir - 6 comments
An elementary proof of Wallis’ product formula for pi
Johan Wastlünd - 9 comments
A Note on the Confinement Problem
Butler W. Lampson - 7 comments
The Brachistochrone Curve: The Problem of Quickest Descent
Yutaka Nishiyama - 15 comments