What is the 9391st prime number?
The 9391st prime number is 97651. The next prime is 97673 (a gap of 22) and the one before is 97649.
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 9391st one is 97651.
- 2
97651 is prime because no prime up to ā97651 ā 312.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9391st prime is close to 9391 Ć ln(9391) ā 85904, and here it is 97651.
- 4
97651 is a twin prime: 97649 and 97651 are both prime.
Primes around the 9391st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9388 | 97609 | 2 |
| 9389 | 97613 | 4 |
| 9390 | 97649 | 36 |
| 9391 | 97651 | 2 |
| 9392 | 97673 | 22 |
| 9393 | 97687 | 14 |
| 9394 | 97711 | 24 |
Questions
What is the 9391st prime number?
97651.
Which prime number is 97651?
97651 is the 9391st prime number.
What is the sum of the first 9391 primes?
434,525,166.