WordGPT

What is the 1179th prime number?

The 1179th prime number is 9521. The next prime is 9533 (a gap of 12) and the one before is 9511.

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 1179th one is 9521.

  2. 2

    9521 is prime because no prime up to √9521 ā‰ˆ 97.58 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 1179th prime is close to 1179 Ɨ ln(1179) ā‰ˆ 8338, and here it is 9521.

  4. 4

    9521 has no twin: neither 9519 nor 9523 is prime.

Primes around the 1179th

PositionPrimeGap from the previous
1176949112
117794976
1178951114
1179952110
1180953312
118195396
118295478

Questions

What is the 1179th prime number?

9521.

Which prime number is 9521?

9521 is the 1179th prime number.

What is the sum of the first 1179 primes?

5,248,368.

About 9521

Neighbouring primes

    The 1179th prime number is 9521 | WordGPT