What is the 9393rd prime number?
The 9393rd prime number is 97687. The next prime is 97711 (a gap of 24) and the one before is 97673.
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 9393rd one is 97687.
- 2
97687 is prime because no prime up to ā97687 ā 312.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9393rd prime is close to 9393 Ć ln(9393) ā 85925, and here it is 97687.
- 4
97687 has no twin: neither 97685 nor 97689 is prime.
Primes around the 9393rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9390 | 97649 | 36 |
| 9391 | 97651 | 2 |
| 9392 | 97673 | 22 |
| 9393 | 97687 | 14 |
| 9394 | 97711 | 24 |
| 9395 | 97729 | 18 |
| 9396 | 97771 | 42 |
Questions
What is the 9393rd prime number?
97687.
Which prime number is 97687?
97687 is the 9393rd prime number.
What is the sum of the first 9393 primes?
434,720,526.