What is the 2104th prime number?
The 2104th prime number is 18367. The next prime is 18371 (a gap of 4) and the one before is 18353.
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 2104th one is 18367.
- 2
18367 is prime because no prime up to ā18367 ā 135.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2104th prime is close to 2104 Ć ln(2104) ā 16099, and here it is 18367.
- 4
18367 has no twin: neither 18365 nor 18369 is prime.
Primes around the 2104th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2101 | 18329 | 16 |
| 2102 | 18341 | 12 |
| 2103 | 18353 | 12 |
| 2104 | 18367 | 14 |
| 2105 | 18371 | 4 |
| 2106 | 18379 | 8 |
| 2107 | 18397 | 18 |
Questions
What is the 2104th prime number?
18367.
Which prime number is 18367?
18367 is the 2104th prime number.
What is the sum of the first 2104 primes?
18,134,917.