What is the 1162nd prime number?
The 1162nd prime number is 9397. The next prime is 9403 (a gap of 6) and the one before is 9391.
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 1162nd one is 9397.
- 2
9397 is prime because no prime up to ā9397 ā 96.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1162nd prime is close to 1162 Ć ln(1162) ā 8201, and here it is 9397.
- 4
9397 has no twin: neither 9395 nor 9399 is prime.
Primes around the 1162nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1159 | 9371 | 22 |
| 1160 | 9377 | 6 |
| 1161 | 9391 | 14 |
| 1162 | 9397 | 6 |
| 1163 | 9403 | 6 |
| 1164 | 9413 | 10 |
| 1165 | 9419 | 6 |
Questions
What is the 1162nd prime number?
9397.
Which prime number is 9397?
9397 is the 1162nd prime number.
What is the sum of the first 1162 primes?
5,087,609.