What is the 2187th prime number?
The 2187th prime number is 19289. The next prime is 19301 (a gap of 12) and the one before is 19273.
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 2187th one is 19289.
- 2
19289 is prime because no prime up to ā19289 ā 138.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2187th prime is close to 2187 Ć ln(2187) ā 16819, and here it is 19289.
- 4
19289 has no twin: neither 19287 nor 19291 is prime.
Primes around the 2187th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2184 | 19259 | 10 |
| 2185 | 19267 | 8 |
| 2186 | 19273 | 6 |
| 2187 | 19289 | 16 |
| 2188 | 19301 | 12 |
| 2189 | 19309 | 8 |
| 2190 | 19319 | 10 |
Questions
What is the 2187th prime number?
19289.
Which prime number is 19289?
19289 is the 2187th prime number.
What is the sum of the first 2187 primes?
19,697,700.