What is the 9439th prime number?
The 9439th prime number is 98299. The next prime is 98317 (a gap of 18) and the one before is 98297.
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 9439th one is 98299.
- 2
98299 is prime because no prime up to ā98299 ā 313.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9439th prime is close to 9439 Ć ln(9439) ā 86391, and here it is 98299.
- 4
98299 is a twin prime: 98297 and 98299 are both prime.
Primes around the 9439th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9436 | 98257 | 6 |
| 9437 | 98269 | 12 |
| 9438 | 98297 | 28 |
| 9439 | 98299 | 2 |
| 9440 | 98317 | 18 |
| 9441 | 98321 | 4 |
| 9442 | 98323 | 2 |
Questions
What is the 9439th prime number?
98299.
Which prime number is 98299?
98299 is the 9439th prime number.
What is the sum of the first 9439 primes?
439,228,252.