What is the 1132nd prime number?
The 1132nd prime number is 9133. The next prime is 9137 (a gap of 4) and the one before is 9127.
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 1132nd one is 9133.
- 2
9133 is prime because no prime up to ā9133 ā 95.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1132nd prime is close to 1132 Ć ln(1132) ā 7960, and here it is 9133.
- 4
9133 has no twin: neither 9131 nor 9135 is prime.
Primes around the 1132nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1129 | 9103 | 12 |
| 1130 | 9109 | 6 |
| 1131 | 9127 | 18 |
| 1132 | 9133 | 6 |
| 1133 | 9137 | 4 |
| 1134 | 9151 | 14 |
| 1135 | 9157 | 6 |
Questions
What is the 1132nd prime number?
9133.
Which prime number is 9133?
9133 is the 1132nd prime number.
What is the sum of the first 1132 primes?
4,809,673.