What is the 1158th prime number?
The 1158th prime number is 9349. The next prime is 9371 (a gap of 22) and the one before is 9343.
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 1158th one is 9349.
- 2
9349 is prime because no prime up to ā9349 ā 96.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1158th prime is close to 1158 Ć ln(1158) ā 8169, and here it is 9349.
- 4
9349 has no twin: neither 9347 nor 9351 is prime.
Primes around the 1158th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1155 | 9337 | 14 |
| 1156 | 9341 | 4 |
| 1157 | 9343 | 2 |
| 1158 | 9349 | 6 |
| 1159 | 9371 | 22 |
| 1160 | 9377 | 6 |
| 1161 | 9391 | 14 |
Questions
What is the 1158th prime number?
9349.
Which prime number is 9349?
9349 is the 1158th prime number.
What is the sum of the first 1158 primes?
5,050,073.