What is the 1155th prime number?
The 1155th prime number is 9337. The next prime is 9341 (a gap of 4) and the one before is 9323.
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 1155th one is 9337.
- 2
9337 is prime because no prime up to ā9337 ā 96.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1155th prime is close to 1155 Ć ln(1155) ā 8145, and here it is 9337.
- 4
9337 has no twin: neither 9335 nor 9339 is prime.
Primes around the 1155th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1152 | 9311 | 18 |
| 1153 | 9319 | 8 |
| 1154 | 9323 | 4 |
| 1155 | 9337 | 14 |
| 1156 | 9341 | 4 |
| 1157 | 9343 | 2 |
| 1158 | 9349 | 6 |
Questions
What is the 1155th prime number?
9337.
Which prime number is 9337?
9337 is the 1155th prime number.
What is the sum of the first 1155 primes?
5,022,040.