What is the 1167th prime number?
The 1167th prime number is 9431. The next prime is 9433 (a gap of 2) and the one before is 9421.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 1167th one is 9431.
- 2
9431 is prime because no prime up to ā9431 ā 97.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1167th prime is close to 1167 Ć ln(1167) ā 8242, and here it is 9431.
- 4
9431 is a twin prime: 9431 and 9433 are both prime.
Primes around the 1167th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1164 | 9413 | 10 |
| 1165 | 9419 | 6 |
| 1166 | 9421 | 2 |
| 1167 | 9431 | 10 |
| 1168 | 9433 | 2 |
| 1169 | 9437 | 4 |
| 1170 | 9439 | 2 |
Questions
What is the 1167th prime number?
9431.
Which prime number is 9431?
9431 is the 1167th prime number.
What is the sum of the first 1167 primes?
5,134,696.