What is the 9099th prime number?
The 9099th prime number is 94343. The next prime is 94349 (a gap of 6) and the one before is 94331.
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 9099th one is 94343.
- 2
94343 is prime because no prime up to ā94343 ā 307.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9099th prime is close to 9099 Ć ln(9099) ā 82946, and here it is 94343.
- 4
94343 has no twin: neither 94341 nor 94345 is prime.
Primes around the 9099th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9096 | 94321 | 12 |
| 9097 | 94327 | 6 |
| 9098 | 94331 | 4 |
| 9099 | 94343 | 12 |
| 9100 | 94349 | 6 |
| 9101 | 94351 | 2 |
| 9102 | 94379 | 28 |
Questions
What is the 9099th prime number?
94343.
Which prime number is 94343?
94343 is the 9099th prime number.
What is the sum of the first 9099 primes?
406,501,788.