What is the 2200th prime number?
The 2200th prime number is 19423. The next prime is 19427 (a gap of 4) and the one before is 19421.
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 2200th one is 19423.
- 2
19423 is prime because no prime up to ā19423 ā 139.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2200th prime is close to 2200 Ć ln(2200) ā 16932, and here it is 19423.
- 4
19423 is a twin prime: 19421 and 19423 are both prime.
Primes around the 2200th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2197 | 19403 | 12 |
| 2198 | 19417 | 14 |
| 2199 | 19421 | 4 |
| 2200 | 19423 | 2 |
| 2201 | 19427 | 4 |
| 2202 | 19429 | 2 |
| 2203 | 19433 | 4 |
Questions
What is the 2200th prime number?
19423.
Which prime number is 19423?
19423 is the 2200th prime number.
What is the sum of the first 2200 primes?
19,949,537.