What is the 9395th prime number?
The 9395th prime number is 97729. The next prime is 97771 (a gap of 42) and the one before is 97711.
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 9395th one is 97729.
- 2
97729 is prime because no prime up to ā97729 ā 312.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9395th prime is close to 9395 Ć ln(9395) ā 85945, and here it is 97729.
- 4
97729 has no twin: neither 97727 nor 97731 is prime.
Primes around the 9395th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9392 | 97673 | 22 |
| 9393 | 97687 | 14 |
| 9394 | 97711 | 24 |
| 9395 | 97729 | 18 |
| 9396 | 97771 | 42 |
| 9397 | 97777 | 6 |
| 9398 | 97787 | 10 |
Questions
What is the 9395th prime number?
97729.
Which prime number is 97729?
97729 is the 9395th prime number.
What is the sum of the first 9395 primes?
434,915,966.