What is the 1170th prime number?
The 1170th prime number is 9439. The next prime is 9461 (a gap of 22) and the one before is 9437.
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 1170th one is 9439.
- 2
9439 is prime because no prime up to ā9439 ā 97.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1170th prime is close to 1170 Ć ln(1170) ā 8266, and here it is 9439.
- 4
9439 is a twin prime: 9437 and 9439 are both prime.
Primes around the 1170th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1167 | 9431 | 10 |
| 1168 | 9433 | 2 |
| 1169 | 9437 | 4 |
| 1170 | 9439 | 2 |
| 1171 | 9461 | 22 |
| 1172 | 9463 | 2 |
| 1173 | 9467 | 4 |
Questions
What is the 1170th prime number?
9439.
Which prime number is 9439?
9439 is the 1170th prime number.
What is the sum of the first 1170 primes?
5,163,005.