What is the 9098th prime number?
The 9098th prime number is 94331. The next prime is 94343 (a gap of 12) and the one before is 94327.
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 9098th one is 94331.
- 2
94331 is prime because no prime up to ā94331 ā 307.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9098th prime is close to 9098 Ć ln(9098) ā 82936, and here it is 94331.
- 4
94331 has no twin: neither 94329 nor 94333 is prime.
Primes around the 9098th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9095 | 94309 | 2 |
| 9096 | 94321 | 12 |
| 9097 | 94327 | 6 |
| 9098 | 94331 | 4 |
| 9099 | 94343 | 12 |
| 9100 | 94349 | 6 |
| 9101 | 94351 | 2 |
Questions
What is the 9098th prime number?
94331.
Which prime number is 94331?
94331 is the 9098th prime number.
What is the sum of the first 9098 primes?
406,407,445.