What is the 1165th prime number?
The 1165th prime number is 9419. The next prime is 9421 (a gap of 2) and the one before is 9413.
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 1165th one is 9419.
- 2
9419 is prime because no prime up to ā9419 ā 97.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1165th prime is close to 1165 Ć ln(1165) ā 8225, and here it is 9419.
- 4
9419 is a twin prime: 9419 and 9421 are both prime.
Primes around the 1165th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1162 | 9397 | 6 |
| 1163 | 9403 | 6 |
| 1164 | 9413 | 10 |
| 1165 | 9419 | 6 |
| 1166 | 9421 | 2 |
| 1167 | 9431 | 10 |
| 1168 | 9433 | 2 |
Questions
What is the 1165th prime number?
9419.
Which prime number is 9419?
9419 is the 1165th prime number.
What is the sum of the first 1165 primes?
5,115,844.