What is the 9388th prime number?
The 9388th prime number is 97609. The next prime is 97613 (a gap of 4) and the one before is 97607.
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 9388th one is 97609.
- 2
97609 is prime because no prime up to ā97609 ā 312.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9388th prime is close to 9388 Ć ln(9388) ā 85874, and here it is 97609.
- 4
97609 is a twin prime: 97607 and 97609 are both prime.
Primes around the 9388th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9385 | 97579 | 2 |
| 9386 | 97583 | 4 |
| 9387 | 97607 | 24 |
| 9388 | 97609 | 2 |
| 9389 | 97613 | 4 |
| 9390 | 97649 | 36 |
| 9391 | 97651 | 2 |
Questions
What is the 9388th prime number?
97609.
Which prime number is 97609?
97609 is the 9388th prime number.
What is the sum of the first 9388 primes?
434,232,253.