What is the 9016th prime number?
The 9016th prime number is 93329. The next prime is 93337 (a gap of 8) and the one before is 93323.
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 9016th one is 93329.
- 2
93329 is prime because no prime up to ā93329 ā 305.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9016th prime is close to 9016 Ć ln(9016) ā 82107, and here it is 93329.
- 4
93329 has no twin: neither 93327 nor 93331 is prime.
Primes around the 9016th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9013 | 93307 | 20 |
| 9014 | 93319 | 12 |
| 9015 | 93323 | 4 |
| 9016 | 93329 | 6 |
| 9017 | 93337 | 8 |
| 9018 | 93371 | 34 |
| 9019 | 93377 | 6 |
Questions
What is the 9016th prime number?
93329.
Which prime number is 93329?
93329 is the 9016th prime number.
What is the sum of the first 9016 primes?
398,711,569.