What is the 2108th prime number?
The 2108th prime number is 18401. The next prime is 18413 (a gap of 12) and the one before is 18397.
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 2108th one is 18401.
- 2
18401 is prime because no prime up to ā18401 ā 135.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2108th prime is close to 2108 Ć ln(2108) ā 16134, and here it is 18401.
- 4
18401 has no twin: neither 18399 nor 18403 is prime.
Primes around the 2108th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2105 | 18371 | 4 |
| 2106 | 18379 | 8 |
| 2107 | 18397 | 18 |
| 2108 | 18401 | 4 |
| 2109 | 18413 | 12 |
| 2110 | 18427 | 14 |
| 2111 | 18433 | 6 |
Questions
What is the 2108th prime number?
18401.
Which prime number is 18401?
18401 is the 2108th prime number.
What is the sum of the first 2108 primes?
18,208,465.