What is the 2099th prime number?
The 2099th prime number is 18311. The next prime is 18313 (a gap of 2) and the one before is 18307.
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 2099th one is 18311.
- 2
18311 is prime because no prime up to ā18311 ā 135.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2099th prime is close to 2099 Ć ln(2099) ā 16056, and here it is 18311.
- 4
18311 is a twin prime: 18311 and 18313 are both prime.
Primes around the 2099th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2096 | 18289 | 2 |
| 2097 | 18301 | 12 |
| 2098 | 18307 | 6 |
| 2099 | 18311 | 4 |
| 2100 | 18313 | 2 |
| 2101 | 18329 | 16 |
| 2102 | 18341 | 12 |
Questions
What is the 2099th prime number?
18311.
Which prime number is 18311?
18311 is the 2099th prime number.
What is the sum of the first 2099 primes?
18,043,214.