What is the 9014th prime number?
The 9014th prime number is 93319. The next prime is 93323 (a gap of 4) and the one before is 93307.
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 9014th one is 93319.
- 2
93319 is prime because no prime up to ā93319 ā 305.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9014th prime is close to 9014 Ć ln(9014) ā 82086, and here it is 93319.
- 4
93319 has no twin: neither 93317 nor 93321 is prime.
Primes around the 9014th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9011 | 93283 | 2 |
| 9012 | 93287 | 4 |
| 9013 | 93307 | 20 |
| 9014 | 93319 | 12 |
| 9015 | 93323 | 4 |
| 9016 | 93329 | 6 |
| 9017 | 93337 | 8 |
Questions
What is the 9014th prime number?
93319.
Which prime number is 93319?
93319 is the 9014th prime number.
What is the sum of the first 9014 primes?
398,524,917.