WordGPT

What is the 5988th prime number?

The 5988th prime number is 59219. The next prime is 59221 (a gap of 2) and the one before is 59209.

Position

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    List the primes in order: 2, 3, 5, 7, 11, 13, … The 5988th one is 59219.

  2. 2

    59219 is prime because no prime up to √59219 ā‰ˆ 243.35 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 5988th prime is close to 5988 Ɨ ln(5988) ā‰ˆ 52081, and here it is 59219.

  4. 4

    59219 is a twin prime: 59219 and 59221 are both prime.

Primes around the 5988th

PositionPrimeGap from the previous
59855919714
59865920710
5987592092
59885921910
5989592212
59905923312
5991592396

Questions

What is the 5988th prime number?

59219.

Which prime number is 59219?

59219 is the 5988th prime number.

What is the sum of the first 5988 primes?

167,737,227.

About 59219

Neighbouring primes

    The 5988th prime number is 59219 | WordGPT