What is the 9368th prime number?
The 9368th prime number is 97397. The next prime is 97423 (a gap of 26) and the one before is 97387.
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 9368th one is 97397.
- 2
97397 is prime because no prime up to ā97397 ā 312.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9368th prime is close to 9368 Ć ln(9368) ā 85671, and here it is 97397.
- 4
97397 has no twin: neither 97395 nor 97399 is prime.
Primes around the 9368th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9365 | 97379 | 6 |
| 9366 | 97381 | 2 |
| 9367 | 97387 | 6 |
| 9368 | 97397 | 10 |
| 9369 | 97423 | 26 |
| 9370 | 97429 | 6 |
| 9371 | 97441 | 12 |
Questions
What is the 9368th prime number?
97397.
Which prime number is 97397?
97397 is the 9368th prime number.
What is the sum of the first 9368 primes?
432,281,815.