What is the 9338th prime number?
The 9338th prime number is 97003. The next prime is 97007 (a gap of 4) and the one before is 97001.
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 9338th one is 97003.
- 2
97003 is prime because no prime up to ā97003 ā 311.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9338th prime is close to 9338 Ć ln(9338) ā 85367, and here it is 97003.
- 4
97003 is a twin prime: 97001 and 97003 are both prime.
Primes around the 9338th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9335 | 96989 | 10 |
| 9336 | 96997 | 8 |
| 9337 | 97001 | 4 |
| 9338 | 97003 | 2 |
| 9339 | 97007 | 4 |
| 9340 | 97021 | 14 |
| 9341 | 97039 | 18 |
Questions
What is the 9338th prime number?
97003.
Which prime number is 97003?
97003 is the 9338th prime number.
What is the sum of the first 9338 primes?
429,365,265.