WordGPT

What is the 1329th prime number?

The 1329th prime number is 10939. The next prime is 10949 (a gap of 10) and the one before is 10937.

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 1329th one is 10939.

  2. 2

    10939 is prime because no prime up to √10939 ā‰ˆ 104.59 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 1329th prime is close to 1329 Ɨ ln(1329) ā‰ˆ 9558, and here it is 10939.

  4. 4

    10939 is a twin prime: 10937 and 10939 are both prime.

Primes around the 1329th

PositionPrimeGap from the previous
13261090312
1327109096
13281093728
1329109392
13301094910
1331109578
13321097316

Questions

What is the 1329th prime number?

10939.

Which prime number is 10939?

10939 is the 1329th prime number.

What is the sum of the first 1329 primes?

6,782,748.

About 10939

Neighbouring primes

    The 1329th prime number is 10939 | WordGPT