What is the 2199th prime number?
The 2199th prime number is 19421. The next prime is 19423 (a gap of 2) and the one before is 19417.
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 2199th one is 19421.
- 2
19421 is prime because no prime up to ā19421 ā 139.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2199th prime is close to 2199 Ć ln(2199) ā 16923, and here it is 19421.
- 4
19421 is a twin prime: 19421 and 19423 are both prime.
Primes around the 2199th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2196 | 19391 | 4 |
| 2197 | 19403 | 12 |
| 2198 | 19417 | 14 |
| 2199 | 19421 | 4 |
| 2200 | 19423 | 2 |
| 2201 | 19427 | 4 |
| 2202 | 19429 | 2 |
Questions
What is the 2199th prime number?
19421.
Which prime number is 19421?
19421 is the 2199th prime number.
What is the sum of the first 2199 primes?
19,930,114.