Goldbach's conjecture

English

The even integers from 4 to 28 as sums of two primes: Even integers correspond to horizontal lines. For each prime, there are two oblique lines, one red and one blue. The sums of two primes are the intersections of one red and one blue line, marked by a circle. Thus the circles on a given horizontal line give all partitions of the corresponding even integer into the sum of two primes.

Proper noun

Goldbach's conjecture

1. (number theory) A conjecture stating that every even integer greater than 2 can be expressed as the sum of two primes, which has been shown to hold up through 4 × 10¹⁸, but remains unproven.
   • 2022, Iain Reid, We Spread, Scribner, pages 255-256:

     “Goldbach’s conjecture, I finally remember it,” he says, as I’m standing to go. “And I want to make sure I tell you. It’s important: For every even number n>2, there exist two prime numbers p_1 and p_2 such that we can write: p_1 + p_2 = n…”

Related terms

• Goldbach number
• Goldbach partition

Translations

Translations

• Chinese:

  Mandarin: 哥德巴赫猜想 (zh) (Gēdébāhè cāixiǎng)

Further reading

• Goldbach's conjecture on Wikipedia.Wikipedia