What is the 1156th prime number?
The 1156th prime number is 9341. The next prime is 9343 (a gap of 2) and the one before is 9337.
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 1156th one is 9341.
- 2
9341 is prime because no prime up to ā9341 ā 96.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1156th prime is close to 1156 Ć ln(1156) ā 8153, and here it is 9341.
- 4
9341 is a twin prime: 9341 and 9343 are both prime.
Primes around the 1156th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1153 | 9319 | 8 |
| 1154 | 9323 | 4 |
| 1155 | 9337 | 14 |
| 1156 | 9341 | 4 |
| 1157 | 9343 | 2 |
| 1158 | 9349 | 6 |
| 1159 | 9371 | 22 |
Questions
What is the 1156th prime number?
9341.
Which prime number is 9341?
9341 is the 1156th prime number.
What is the sum of the first 1156 primes?
5,031,381.