What is the 1133rd prime number?
The 1133rd prime number is 9137. The next prime is 9151 (a gap of 14) and the one before is 9133.
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 1133rd one is 9137.
- 2
9137 is prime because no prime up to ā9137 ā 95.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1133rd prime is close to 1133 Ć ln(1133) ā 7968, and here it is 9137.
- 4
9137 has no twin: neither 9135 nor 9139 is prime.
Primes around the 1133rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1130 | 9109 | 6 |
| 1131 | 9127 | 18 |
| 1132 | 9133 | 6 |
| 1133 | 9137 | 4 |
| 1134 | 9151 | 14 |
| 1135 | 9157 | 6 |
| 1136 | 9161 | 4 |
Questions
What is the 1133rd prime number?
9137.
Which prime number is 9137?
9137 is the 1133rd prime number.
What is the sum of the first 1133 primes?
4,818,810.