What is the 9339th prime number?
The 9339th prime number is 97007. The next prime is 97021 (a gap of 14) and the one before is 97003.
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 9339th one is 97007.
- 2
97007 is prime because no prime up to ā97007 ā 311.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9339th prime is close to 9339 Ć ln(9339) ā 85377, and here it is 97007.
- 4
97007 has no twin: neither 97005 nor 97009 is prime.
Primes around the 9339th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9336 | 96997 | 8 |
| 9337 | 97001 | 4 |
| 9338 | 97003 | 2 |
| 9339 | 97007 | 4 |
| 9340 | 97021 | 14 |
| 9341 | 97039 | 18 |
| 9342 | 97073 | 34 |
Questions
What is the 9339th prime number?
97007.
Which prime number is 97007?
97007 is the 9339th prime number.
What is the sum of the first 9339 primes?
429,462,272.