What is the 9380th prime number?
The 9380th prime number is 97549. The next prime is 97553 (a gap of 4) and the one before is 97547.
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 9380th one is 97549.
- 2
97549 is prime because no prime up to ā97549 ā 312.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9380th prime is close to 9380 Ć ln(9380) ā 85793, and here it is 97549.
- 4
97549 is a twin prime: 97547 and 97549 are both prime.
Primes around the 9380th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9377 | 97511 | 10 |
| 9378 | 97523 | 12 |
| 9379 | 97547 | 24 |
| 9380 | 97549 | 2 |
| 9381 | 97553 | 4 |
| 9382 | 97561 | 8 |
| 9383 | 97571 | 10 |
Questions
What is the 9380th prime number?
97549.
Which prime number is 97549?
97549 is the 9380th prime number.
What is the sum of the first 9380 primes?
433,451,613.