What is the 1160th prime number?
The 1160th prime number is 9377. The next prime is 9391 (a gap of 14) and the one before is 9371.
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 1160th one is 9377.
- 2
9377 is prime because no prime up to ā9377 ā 96.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1160th prime is close to 1160 Ć ln(1160) ā 8185, and here it is 9377.
- 4
9377 has no twin: neither 9375 nor 9379 is prime.
Primes around the 1160th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1157 | 9343 | 2 |
| 1158 | 9349 | 6 |
| 1159 | 9371 | 22 |
| 1160 | 9377 | 6 |
| 1161 | 9391 | 14 |
| 1162 | 9397 | 6 |
| 1163 | 9403 | 6 |
Questions
What is the 1160th prime number?
9377.
Which prime number is 9377?
9377 is the 1160th prime number.
What is the sum of the first 1160 primes?
5,068,821.