What is the 2184th prime number?
The 2184th prime number is 19259. The next prime is 19267 (a gap of 8) and the one before is 19249.
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 2184th one is 19259.
- 2
19259 is prime because no prime up to ā19259 ā 138.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2184th prime is close to 2184 Ć ln(2184) ā 16793, and here it is 19259.
- 4
19259 has no twin: neither 19257 nor 19261 is prime.
Primes around the 2184th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2181 | 19231 | 12 |
| 2182 | 19237 | 6 |
| 2183 | 19249 | 12 |
| 2184 | 19259 | 10 |
| 2185 | 19267 | 8 |
| 2186 | 19273 | 6 |
| 2187 | 19289 | 16 |
Questions
What is the 2184th prime number?
19259.
Which prime number is 19259?
19259 is the 2184th prime number.
What is the sum of the first 2184 primes?
19,639,871.