What is the 1168th prime number?
The 1168th prime number is 9433. The next prime is 9437 (a gap of 4) and the one before is 9431.
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 1168th one is 9433.
- 2
9433 is prime because no prime up to ā9433 ā 97.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1168th prime is close to 1168 Ć ln(1168) ā 8250, and here it is 9433.
- 4
9433 is a twin prime: 9431 and 9433 are both prime.
Primes around the 1168th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1165 | 9419 | 6 |
| 1166 | 9421 | 2 |
| 1167 | 9431 | 10 |
| 1168 | 9433 | 2 |
| 1169 | 9437 | 4 |
| 1170 | 9439 | 2 |
| 1171 | 9461 | 22 |
Questions
What is the 1168th prime number?
9433.
Which prime number is 9433?
9433 is the 1168th prime number.
What is the sum of the first 1168 primes?
5,144,129.