What is the 9369th prime number?
The 9369th prime number is 97423. The next prime is 97429 (a gap of 6) and the one before is 97397.
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 9369th one is 97423.
- 2
97423 is prime because no prime up to ā97423 ā 312.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9369th prime is close to 9369 Ć ln(9369) ā 85681, and here it is 97423.
- 4
97423 has no twin: neither 97421 nor 97425 is prime.
Primes around the 9369th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9366 | 97381 | 2 |
| 9367 | 97387 | 6 |
| 9368 | 97397 | 10 |
| 9369 | 97423 | 26 |
| 9370 | 97429 | 6 |
| 9371 | 97441 | 12 |
| 9372 | 97453 | 12 |
Questions
What is the 9369th prime number?
97423.
Which prime number is 97423?
97423 is the 9369th prime number.
What is the sum of the first 9369 primes?
432,379,238.