What is the 9361st prime number?
The 9361st prime number is 97327. The next prime is 97367 (a gap of 40) and the one before is 97303.
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 9361st one is 97327.
- 2
97327 is prime because no prime up to ā97327 ā 311.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9361st prime is close to 9361 Ć ln(9361) ā 85600, and here it is 97327.
- 4
97327 has no twin: neither 97325 nor 97329 is prime.
Primes around the 9361st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9358 | 97283 | 24 |
| 9359 | 97301 | 18 |
| 9360 | 97303 | 2 |
| 9361 | 97327 | 24 |
| 9362 | 97367 | 40 |
| 9363 | 97369 | 2 |
| 9364 | 97373 | 4 |
Questions
What is the 9361st prime number?
97327.
Which prime number is 97327?
97327 is the 9361st prime number.
What is the sum of the first 9361 primes?
431,600,162.