What is the 9364th prime number?
The 9364th prime number is 97373. The next prime is 97379 (a gap of 6) and the one before is 97369.
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 9364th one is 97373.
- 2
97373 is prime because no prime up to ā97373 ā 312.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9364th prime is close to 9364 Ć ln(9364) ā 85630, and here it is 97373.
- 4
97373 has no twin: neither 97371 nor 97375 is prime.
Primes around the 9364th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9361 | 97327 | 24 |
| 9362 | 97367 | 40 |
| 9363 | 97369 | 2 |
| 9364 | 97373 | 4 |
| 9365 | 97379 | 6 |
| 9366 | 97381 | 2 |
| 9367 | 97387 | 6 |
Questions
What is the 9364th prime number?
97373.
Which prime number is 97373?
97373 is the 9364th prime number.
What is the sum of the first 9364 primes?
431,892,271.