What is the 2188th prime number?
The 2188th prime number is 19301. The next prime is 19309 (a gap of 8) and the one before is 19289.
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 2188th one is 19301.
- 2
19301 is prime because no prime up to ā19301 ā 138.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2188th prime is close to 2188 Ć ln(2188) ā 16827, and here it is 19301.
- 4
19301 has no twin: neither 19299 nor 19303 is prime.
Primes around the 2188th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2185 | 19267 | 8 |
| 2186 | 19273 | 6 |
| 2187 | 19289 | 16 |
| 2188 | 19301 | 12 |
| 2189 | 19309 | 8 |
| 2190 | 19319 | 10 |
| 2191 | 19333 | 14 |
Questions
What is the 2188th prime number?
19301.
Which prime number is 19301?
19301 is the 2188th prime number.
What is the sum of the first 2188 primes?
19,717,001.