What is the 2106th prime number?
The 2106th prime number is 18379. The next prime is 18397 (a gap of 18) and the one before is 18371.
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 2106th one is 18379.
- 2
18379 is prime because no prime up to ā18379 ā 135.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2106th prime is close to 2106 Ć ln(2106) ā 16116, and here it is 18379.
- 4
18379 has no twin: neither 18377 nor 18381 is prime.
Primes around the 2106th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2103 | 18353 | 12 |
| 2104 | 18367 | 14 |
| 2105 | 18371 | 4 |
| 2106 | 18379 | 8 |
| 2107 | 18397 | 18 |
| 2108 | 18401 | 4 |
| 2109 | 18413 | 12 |
Questions
What is the 2106th prime number?
18379.
Which prime number is 18379?
18379 is the 2106th prime number.
What is the sum of the first 2106 primes?
18,171,667.