What is the 2109th prime number?
The 2109th prime number is 18413. The next prime is 18427 (a gap of 14) and the one before is 18401.
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 2109th one is 18413.
- 2
18413 is prime because no prime up to ā18413 ā 135.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2109th prime is close to 2109 Ć ln(2109) ā 16142, and here it is 18413.
- 4
18413 has no twin: neither 18411 nor 18415 is prime.
Primes around the 2109th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2106 | 18379 | 8 |
| 2107 | 18397 | 18 |
| 2108 | 18401 | 4 |
| 2109 | 18413 | 12 |
| 2110 | 18427 | 14 |
| 2111 | 18433 | 6 |
| 2112 | 18439 | 6 |
Questions
What is the 2109th prime number?
18413.
Which prime number is 18413?
18413 is the 2109th prime number.
What is the sum of the first 2109 primes?
18,226,878.