What is the 1135th prime number?
The 1135th prime number is 9157. The next prime is 9161 (a gap of 4) and the one before is 9151.
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 1135th one is 9157.
- 2
9157 is prime because no prime up to ā9157 ā 95.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1135th prime is close to 1135 Ć ln(1135) ā 7984, and here it is 9157.
- 4
9157 has no twin: neither 9155 nor 9159 is prime.
Primes around the 1135th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1132 | 9133 | 6 |
| 1133 | 9137 | 4 |
| 1134 | 9151 | 14 |
| 1135 | 9157 | 6 |
| 1136 | 9161 | 4 |
| 1137 | 9173 | 12 |
| 1138 | 9181 | 8 |
Questions
What is the 1135th prime number?
9157.
Which prime number is 9157?
9157 is the 1135th prime number.
What is the sum of the first 1135 primes?
4,837,118.