What is the 9389th prime number?
The 9389th prime number is 97613. The next prime is 97649 (a gap of 36) and the one before is 97609.
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 9389th one is 97613.
- 2
97613 is prime because no prime up to ā97613 ā 312.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9389th prime is close to 9389 Ć ln(9389) ā 85884, and here it is 97613.
- 4
97613 has no twin: neither 97611 nor 97615 is prime.
Primes around the 9389th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9386 | 97583 | 4 |
| 9387 | 97607 | 24 |
| 9388 | 97609 | 2 |
| 9389 | 97613 | 4 |
| 9390 | 97649 | 36 |
| 9391 | 97651 | 2 |
| 9392 | 97673 | 22 |
Questions
What is the 9389th prime number?
97613.
Which prime number is 97613?
97613 is the 9389th prime number.
What is the sum of the first 9389 primes?
434,329,866.