What is the 1134th prime number?
The 1134th prime number is 9151. The next prime is 9157 (a gap of 6) and the one before is 9137.
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 1134th one is 9151.
- 2
9151 is prime because no prime up to ā9151 ā 95.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1134th prime is close to 1134 Ć ln(1134) ā 7976, and here it is 9151.
- 4
9151 has no twin: neither 9149 nor 9153 is prime.
Primes around the 1134th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1131 | 9127 | 18 |
| 1132 | 9133 | 6 |
| 1133 | 9137 | 4 |
| 1134 | 9151 | 14 |
| 1135 | 9157 | 6 |
| 1136 | 9161 | 4 |
| 1137 | 9173 | 12 |
Questions
What is the 1134th prime number?
9151.
Which prime number is 9151?
9151 is the 1134th prime number.
What is the sum of the first 1134 primes?
4,827,961.