What is the 9366th prime number?
The 9366th prime number is 97381. The next prime is 97387 (a gap of 6) and the one before is 97379.
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 9366th one is 97381.
- 2
97381 is prime because no prime up to ā97381 ā 312.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9366th prime is close to 9366 Ć ln(9366) ā 85651, and here it is 97381.
- 4
97381 is a twin prime: 97379 and 97381 are both prime.
Primes around the 9366th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9363 | 97369 | 2 |
| 9364 | 97373 | 4 |
| 9365 | 97379 | 6 |
| 9366 | 97381 | 2 |
| 9367 | 97387 | 6 |
| 9368 | 97397 | 10 |
| 9369 | 97423 | 26 |
Questions
What is the 9366th prime number?
97381.
Which prime number is 97381?
97381 is the 9366th prime number.
What is the sum of the first 9366 primes?
432,087,031.