What is the 9392nd prime number?
The 9392nd prime number is 97673. The next prime is 97687 (a gap of 14) and the one before is 97651.
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 9392nd one is 97673.
- 2
97673 is prime because no prime up to ā97673 ā 312.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9392nd prime is close to 9392 Ć ln(9392) ā 85914, and here it is 97673.
- 4
97673 has no twin: neither 97671 nor 97675 is prime.
Primes around the 9392nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9389 | 97613 | 4 |
| 9390 | 97649 | 36 |
| 9391 | 97651 | 2 |
| 9392 | 97673 | 22 |
| 9393 | 97687 | 14 |
| 9394 | 97711 | 24 |
| 9395 | 97729 | 18 |
Questions
What is the 9392nd prime number?
97673.
Which prime number is 97673?
97673 is the 9392nd prime number.
What is the sum of the first 9392 primes?
434,622,839.