What is the 9385th prime number?
The 9385th prime number is 97579. The next prime is 97583 (a gap of 4) and the one before is 97577.
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 9385th one is 97579.
- 2
97579 is prime because no prime up to ā97579 ā 312.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9385th prime is close to 9385 Ć ln(9385) ā 85843, and here it is 97579.
- 4
97579 is a twin prime: 97577 and 97579 are both prime.
Primes around the 9385th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9382 | 97561 | 8 |
| 9383 | 97571 | 10 |
| 9384 | 97577 | 6 |
| 9385 | 97579 | 2 |
| 9386 | 97583 | 4 |
| 9387 | 97607 | 24 |
| 9388 | 97609 | 2 |
Questions
What is the 9385th prime number?
97579.
Which prime number is 97579?
97579 is the 9385th prime number.
What is the sum of the first 9385 primes?
433,939,454.