The Shortest-Known Paper Published in a Serious Math Journal: 2 Succinct Sentences

Euler’s con­jec­ture, a the­o­ry pro­posed by Leon­hard Euler in 1769, hung in there for 200 years. Then L.J. Lan­der and T.R. Parkin came along in 1966, and debunked the con­jec­ture in two swift sen­tences. Their arti­cle — which is now open access and can be down­loaded here — appeared in the Bul­letin of the Amer­i­can Math­e­mat­i­cal Soci­ety. If you’re won­der­ing what the con­jec­ture and its refu­ta­tion are all about, you might want to ask Cliff Pick­over, the author of 45 books on math and sci­ence. He brought this curi­ous doc­u­ment to the web a cou­ple of years back…

If you would like to sign up for Open Culture’s free email newslet­ter, please find it here. Or fol­low our posts on Threads, Face­book, BlueSky or Mastodon. If you would like to sup­port the mis­sion of Open Cul­ture, con­sid­er mak­ing a dona­tion to our site. It’s hard to rely 100% on ads, and your con­tri­bu­tions will help us con­tin­ue pro­vid­ing the best free cul­tur­al and edu­ca­tion­al mate­ri­als to learn­ers every­where. You can con­tribute through Pay­Pal, Patre­on, and Ven­mo (@openculture). Thanks!

Note: An ear­li­er ver­sion of this post appeared on our site in April, 2015.

Relat­ed Con­tent:

60 Free Online Math Cours­es

Free Math Text­books

When a Cat Co-Authored a Paper in a Lead­ing Physics Jour­nal (1975)

Read John Nash’s Super Short PhD The­sis with 26 Pages & 2 Cita­tions: The Beau­ty of Invent­ing a Field

The World Record for the Short­est Math Arti­cle: 2 Words

Does Math Objec­tive­ly Exist, or Is It a Human Cre­ation? A New PBS Video Explores a Time­less Ques­tion


by | Permalink | Comments (2) |

Sup­port Open Cul­ture

We’re hop­ing to rely on our loy­al read­ers rather than errat­ic ads. To sup­port Open Cul­ture’s edu­ca­tion­al mis­sion, please con­sid­er mak­ing a dona­tion. We accept Pay­Pal, Ven­mo (@openculture), Patre­on and Cryp­to! Please find all options here. We thank you!


Comments (2)
You can skip to the end and leave a response. Pinging is currently not allowed.
  • Antonio says:

    A small note, in the spir­it of con­struc­tive crit­i­cism:

    >Euler’s con­jec­ture, a the­o­ry pro­posed by (…)

    A con­jec­ture is not a the­o­ry, it is a con­jec­ture; leave it at that. It’s some­thing that you guess is true but don’t know how to prove.

    >and debunked the con­jec­ture

    “debunk” is harsh. You “debunk” a hoax, maybe. You *dis­prove* a con­jec­ture, or, more causal­ly, you “show it to be false”.

    > If you’re won­der­ing what the con­jec­ture and its refu­ta­tion are all about, you might want to ask

    What the con­jec­ture is, is writ­ten right there, on the last line of those “two swift sen­tences”. But ok, I sup­pose many of your read­ers may appre­ci­ate a bit of hand-hold­ing — although it’s pret­ty read­able, as long as you remem­ber what an “nth pow­er” is.

    Any­way, I don’t mean to be harsh, hope you take this in the way I meant it.

  • Albert S. Franzen says:

    I would like to show thanks to you just for bail­ing me out of this this par­tic­u­lar trou­ble. As a result of check­ing through the net and meet­ing tech­niques that was not pro­duc­tive, I released my life was done.

Leave a Reply

Quantcast
Open Culture was founded by Dan Colman.