What is the 9384th prime number?
The 9384th prime number is 97577. The next prime is 97579 (a gap of 2) and the one before is 97571.
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 9384th one is 97577.
- 2
97577 is prime because no prime up to ā97577 ā 312.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9384th prime is close to 9384 Ć ln(9384) ā 85833, and here it is 97577.
- 4
97577 is a twin prime: 97577 and 97579 are both prime.
Primes around the 9384th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9381 | 97553 | 4 |
| 9382 | 97561 | 8 |
| 9383 | 97571 | 10 |
| 9384 | 97577 | 6 |
| 9385 | 97579 | 2 |
| 9386 | 97583 | 4 |
| 9387 | 97607 | 24 |
Questions
What is the 9384th prime number?
97577.
Which prime number is 97577?
97577 is the 9384th prime number.
What is the sum of the first 9384 primes?
433,841,875.