What is the 9096th prime number?
The 9096th prime number is 94321. The next prime is 94327 (a gap of 6) and the one before is 94309.
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 9096th one is 94321.
- 2
94321 is prime because no prime up to ā94321 ā 307.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9096th prime is close to 9096 Ć ln(9096) ā 82915, and here it is 94321.
- 4
94321 has no twin: neither 94319 nor 94323 is prime.
Primes around the 9096th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9093 | 94291 | 18 |
| 9094 | 94307 | 16 |
| 9095 | 94309 | 2 |
| 9096 | 94321 | 12 |
| 9097 | 94327 | 6 |
| 9098 | 94331 | 4 |
| 9099 | 94343 | 12 |
Questions
What is the 9096th prime number?
94321.
Which prime number is 94321?
94321 is the 9096th prime number.
What is the sum of the first 9096 primes?
406,218,787.