What is the 9097th prime number?
The 9097th prime number is 94327. The next prime is 94331 (a gap of 4) and the one before is 94321.
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 9097th one is 94327.
- 2
94327 is prime because no prime up to ā94327 ā 307.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9097th prime is close to 9097 Ć ln(9097) ā 82926, and here it is 94327.
- 4
94327 has no twin: neither 94325 nor 94329 is prime.
Primes around the 9097th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9094 | 94307 | 16 |
| 9095 | 94309 | 2 |
| 9096 | 94321 | 12 |
| 9097 | 94327 | 6 |
| 9098 | 94331 | 4 |
| 9099 | 94343 | 12 |
| 9100 | 94349 | 6 |
Questions
What is the 9097th prime number?
94327.
Which prime number is 94327?
94327 is the 9097th prime number.
What is the sum of the first 9097 primes?
406,313,114.