Prime Patterns
Math · Advanced · Lesson 3 of 7

Goldbach’s Conjecture

Sums of two primes

An interactive lesson with 6 steps, about 5 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

  • Goldbach: every even number > 2 is a sum of two primes (unproved).
  • Verified up to 4 × 10¹⁸.
  • The weak version (three primes for odd numbers) was proved in 2013.

Steps

  1. A letter from 1742
  2. Count the ways
  3. Goldbach’s comet
  4. No room for 2
  5. A hundred
  6. Weak Goldbach