What is the 9367th prime number?
The 9367th prime number is 97387. The next prime is 97397 (a gap of 10) and the one before is 97381.
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 9367th one is 97387.
- 2
97387 is prime because no prime up to ā97387 ā 312.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9367th prime is close to 9367 Ć ln(9367) ā 85661, and here it is 97387.
- 4
97387 has no twin: neither 97385 nor 97389 is prime.
Primes around the 9367th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9364 | 97373 | 4 |
| 9365 | 97379 | 6 |
| 9366 | 97381 | 2 |
| 9367 | 97387 | 6 |
| 9368 | 97397 | 10 |
| 9369 | 97423 | 26 |
| 9370 | 97429 | 6 |
Questions
What is the 9367th prime number?
97387.
Which prime number is 97387?
97387 is the 9367th prime number.
What is the sum of the first 9367 primes?
432,184,418.