What is the 2190th prime number?
The 2190th prime number is 19319. The next prime is 19333 (a gap of 14) and the one before is 19309.
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 2190th one is 19319.
- 2
19319 is prime because no prime up to ā19319 ā 138.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2190th prime is close to 2190 Ć ln(2190) ā 16845, and here it is 19319.
- 4
19319 has no twin: neither 19317 nor 19321 is prime.
Primes around the 2190th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2187 | 19289 | 16 |
| 2188 | 19301 | 12 |
| 2189 | 19309 | 8 |
| 2190 | 19319 | 10 |
| 2191 | 19333 | 14 |
| 2192 | 19373 | 40 |
| 2193 | 19379 | 6 |
Questions
What is the 2190th prime number?
19319.
Which prime number is 19319?
19319 is the 2190th prime number.
What is the sum of the first 2190 primes?
19,755,629.