What is the 2107th prime number?
The 2107th prime number is 18397. The next prime is 18401 (a gap of 4) and the one before is 18379.
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 2107th one is 18397.
- 2
18397 is prime because no prime up to ā18397 ā 135.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2107th prime is close to 2107 Ć ln(2107) ā 16125, and here it is 18397.
- 4
18397 has no twin: neither 18395 nor 18399 is prime.
Primes around the 2107th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2104 | 18367 | 14 |
| 2105 | 18371 | 4 |
| 2106 | 18379 | 8 |
| 2107 | 18397 | 18 |
| 2108 | 18401 | 4 |
| 2109 | 18413 | 12 |
| 2110 | 18427 | 14 |
Questions
What is the 2107th prime number?
18397.
Which prime number is 18397?
18397 is the 2107th prime number.
What is the sum of the first 2107 primes?
18,190,064.