What is the 1161st prime number?
The 1161st prime number is 9391. The next prime is 9397 (a gap of 6) and the one before is 9377.
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 1161st one is 9391.
- 2
9391 is prime because no prime up to ā9391 ā 96.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1161st prime is close to 1161 Ć ln(1161) ā 8193, and here it is 9391.
- 4
9391 has no twin: neither 9389 nor 9393 is prime.
Primes around the 1161st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1158 | 9349 | 6 |
| 1159 | 9371 | 22 |
| 1160 | 9377 | 6 |
| 1161 | 9391 | 14 |
| 1162 | 9397 | 6 |
| 1163 | 9403 | 6 |
| 1164 | 9413 | 10 |
Questions
What is the 1161st prime number?
9391.
Which prime number is 9391?
9391 is the 1161st prime number.
What is the sum of the first 1161 primes?
5,078,212.