What is the 9438th prime number?
The 9438th prime number is 98297. The next prime is 98299 (a gap of 2) and the one before is 98269.
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 9438th one is 98297.
- 2
98297 is prime because no prime up to ā98297 ā 313.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9438th prime is close to 9438 Ć ln(9438) ā 86381, and here it is 98297.
- 4
98297 is a twin prime: 98297 and 98299 are both prime.
Primes around the 9438th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9435 | 98251 | 24 |
| 9436 | 98257 | 6 |
| 9437 | 98269 | 12 |
| 9438 | 98297 | 28 |
| 9439 | 98299 | 2 |
| 9440 | 98317 | 18 |
| 9441 | 98321 | 4 |
Questions
What is the 9438th prime number?
98297.
Which prime number is 98297?
98297 is the 9438th prime number.
What is the sum of the first 9438 primes?
439,129,953.