What is the 1159th prime number?
The 1159th prime number is 9371. The next prime is 9377 (a gap of 6) and the one before is 9349.
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 1159th one is 9371.
- 2
9371 is prime because no prime up to ā9371 ā 96.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1159th prime is close to 1159 Ć ln(1159) ā 8177, and here it is 9371.
- 4
9371 has no twin: neither 9369 nor 9373 is prime.
Primes around the 1159th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1156 | 9341 | 4 |
| 1157 | 9343 | 2 |
| 1158 | 9349 | 6 |
| 1159 | 9371 | 22 |
| 1160 | 9377 | 6 |
| 1161 | 9391 | 14 |
| 1162 | 9397 | 6 |
Questions
What is the 1159th prime number?
9371.
Which prime number is 9371?
9371 is the 1159th prime number.
What is the sum of the first 1159 primes?
5,059,444.