What is the 9390th prime number?
The 9390th prime number is 97649. The next prime is 97651 (a gap of 2) and the one before is 97613.
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 9390th one is 97649.
- 2
97649 is prime because no prime up to ā97649 ā 312.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9390th prime is close to 9390 Ć ln(9390) ā 85894, and here it is 97649.
- 4
97649 is a twin prime: 97649 and 97651 are both prime.
Primes around the 9390th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9387 | 97607 | 24 |
| 9388 | 97609 | 2 |
| 9389 | 97613 | 4 |
| 9390 | 97649 | 36 |
| 9391 | 97651 | 2 |
| 9392 | 97673 | 22 |
| 9393 | 97687 | 14 |
Questions
What is the 9390th prime number?
97649.
Which prime number is 97649?
97649 is the 9390th prime number.
What is the sum of the first 9390 primes?
434,427,515.