WordGPT

What is the 5999th prime number?

The 5999th prime number is 59357. The next prime is 59359 (a gap of 2) and the one before is 59351.

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 5999th one is 59357.

  2. 2

    59357 is prime because no prime up to √59357 ā‰ˆ 243.63 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 5999th prime is close to 5999 Ɨ ln(5999) ā‰ˆ 52187, and here it is 59357.

  4. 4

    59357 is a twin prime: 59357 and 59359 are both prime.

Primes around the 5999th

PositionPrimeGap from the previous
59965933352
5997593418
59985935110
5999593576
6000593592
60015936910
6002593778

Questions

What is the 5999th prime number?

59357.

Which prime number is 59357?

59357 is the 5999th prime number.

What is the sum of the first 5999 primes?

168,389,362.

About 59357

Neighbouring primes

    The 5999th prime number is 59357 | WordGPT