What is the 1157th prime number?
The 1157th prime number is 9343. The next prime is 9349 (a gap of 6) and the one before is 9341.
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 1157th one is 9343.
- 2
9343 is prime because no prime up to ā9343 ā 96.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1157th prime is close to 1157 Ć ln(1157) ā 8161, and here it is 9343.
- 4
9343 is a twin prime: 9341 and 9343 are both prime.
Primes around the 1157th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1154 | 9323 | 4 |
| 1155 | 9337 | 14 |
| 1156 | 9341 | 4 |
| 1157 | 9343 | 2 |
| 1158 | 9349 | 6 |
| 1159 | 9371 | 22 |
| 1160 | 9377 | 6 |
Questions
What is the 1157th prime number?
9343.
Which prime number is 9343?
9343 is the 1157th prime number.
What is the sum of the first 1157 primes?
5,040,724.