What is the 2098th prime number?
The 2098th prime number is 18307. The next prime is 18311 (a gap of 4) and the one before is 18301.
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 2098th one is 18307.
- 2
18307 is prime because no prime up to ā18307 ā 135.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2098th prime is close to 2098 Ć ln(2098) ā 16047, and here it is 18307.
- 4
18307 has no twin: neither 18305 nor 18309 is prime.
Primes around the 2098th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2095 | 18287 | 18 |
| 2096 | 18289 | 2 |
| 2097 | 18301 | 12 |
| 2098 | 18307 | 6 |
| 2099 | 18311 | 4 |
| 2100 | 18313 | 2 |
| 2101 | 18329 | 16 |
Questions
What is the 2098th prime number?
18307.
Which prime number is 18307?
18307 is the 2098th prime number.
What is the sum of the first 2098 primes?
18,024,903.