What is the 9363rd prime number?
The 9363rd prime number is 97369. The next prime is 97373 (a gap of 4) and the one before is 97367.
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 9363rd one is 97369.
- 2
97369 is prime because no prime up to ā97369 ā 312.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9363rd prime is close to 9363 Ć ln(9363) ā 85620, and here it is 97369.
- 4
97369 is a twin prime: 97367 and 97369 are both prime.
Primes around the 9363rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9360 | 97303 | 2 |
| 9361 | 97327 | 24 |
| 9362 | 97367 | 40 |
| 9363 | 97369 | 2 |
| 9364 | 97373 | 4 |
| 9365 | 97379 | 6 |
| 9366 | 97381 | 2 |
Questions
What is the 9363rd prime number?
97369.
Which prime number is 97369?
97369 is the 9363rd prime number.
What is the sum of the first 9363 primes?
431,794,898.