What is the 2105th prime number?
The 2105th prime number is 18371. The next prime is 18379 (a gap of 8) and the one before is 18367.
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 2105th one is 18371.
- 2
18371 is prime because no prime up to ā18371 ā 135.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2105th prime is close to 2105 Ć ln(2105) ā 16108, and here it is 18371.
- 4
18371 has no twin: neither 18369 nor 18373 is prime.
Primes around the 2105th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2102 | 18341 | 12 |
| 2103 | 18353 | 12 |
| 2104 | 18367 | 14 |
| 2105 | 18371 | 4 |
| 2106 | 18379 | 8 |
| 2107 | 18397 | 18 |
| 2108 | 18401 | 4 |
Questions
What is the 2105th prime number?
18371.
Which prime number is 18371?
18371 is the 2105th prime number.
What is the sum of the first 2105 primes?
18,153,288.