Math with Bad DrawingsCartoon Archive

The Sieve of Errortosthenes

June 16, 2025

The sieve of Eratosthenes beside the 'Sieve of Errortosthenes,' which starts by circling 1 and crosses out every other number as its multiple.

Drawn for an essay by James Propp.

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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.

Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2025-06-16-the-sieve-of-errortosthenes/ (CC BY-NC 4.0)
Transcript

The Sieve of Eratosthenes: "Aha… the primes are thus revealed!" [2, 3, 5, 7 circled; multiples crossed out through 50] / The Sieve of Errortosthenes: "So… 1 is the only prime?" [1 circled; everything else crossed out as a multiple of 1]

Topics
Number Theory › PrimesNumber Theory › Sieve of EratosthenesNumber & Arithmetic › Multiples
Level
Middle SchoolHigh School
Themes
MathematiciansCommon MistakesPuns
People
Eratosthenes James Propp