What is the 2189th prime number?
The 2189th prime number is 19309. The next prime is 19319 (a gap of 10) and the one before is 19301.
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 2189th one is 19309.
- 2
19309 is prime because no prime up to ā19309 ā 138.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2189th prime is close to 2189 Ć ln(2189) ā 16836, and here it is 19309.
- 4
19309 has no twin: neither 19307 nor 19311 is prime.
Primes around the 2189th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2186 | 19273 | 6 |
| 2187 | 19289 | 16 |
| 2188 | 19301 | 12 |
| 2189 | 19309 | 8 |
| 2190 | 19319 | 10 |
| 2191 | 19333 | 14 |
| 2192 | 19373 | 40 |
Questions
What is the 2189th prime number?
19309.
Which prime number is 19309?
19309 is the 2189th prime number.
What is the sum of the first 2189 primes?
19,736,310.