What is the 9132nd prime number?
The 9132nd prime number is 94709. The next prime is 94723 (a gap of 14) and the one before is 94693.
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 9132nd one is 94709.
- 2
94709 is prime because no prime up to ā94709 ā 307.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9132nd prime is close to 9132 Ć ln(9132) ā 83280, and here it is 94709.
- 4
94709 has no twin: neither 94707 nor 94711 is prime.
Primes around the 9132nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9129 | 94651 | 2 |
| 9130 | 94687 | 36 |
| 9131 | 94693 | 6 |
| 9132 | 94709 | 16 |
| 9133 | 94723 | 14 |
| 9134 | 94727 | 4 |
| 9135 | 94747 | 20 |
Questions
What is the 9132nd prime number?
94709.
Which prime number is 94709?
94709 is the 9132nd prime number.
What is the sum of the first 9132 primes?
409,620,997.