What is the 9379th prime number?
The 9379th prime number is 97547. The next prime is 97549 (a gap of 2) and the one before is 97523.
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 9379th one is 97547.
- 2
97547 is prime because no prime up to ā97547 ā 312.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9379th prime is close to 9379 Ć ln(9379) ā 85782, and here it is 97547.
- 4
97547 is a twin prime: 97547 and 97549 are both prime.
Primes around the 9379th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9376 | 97501 | 2 |
| 9377 | 97511 | 10 |
| 9378 | 97523 | 12 |
| 9379 | 97547 | 24 |
| 9380 | 97549 | 2 |
| 9381 | 97553 | 4 |
| 9382 | 97561 | 8 |
Questions
What is the 9379th prime number?
97547.
Which prime number is 97547?
97547 is the 9379th prime number.
What is the sum of the first 9379 primes?
433,354,064.