What is the 2204th prime number?
The 2204th prime number is 19441. The next prime is 19447 (a gap of 6) and the one before is 19433.
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 2204th one is 19441.
- 2
19441 is prime because no prime up to ā19441 ā 139.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2204th prime is close to 2204 Ć ln(2204) ā 16966, and here it is 19441.
- 4
19441 has no twin: neither 19439 nor 19443 is prime.
Primes around the 2204th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2201 | 19427 | 4 |
| 2202 | 19429 | 2 |
| 2203 | 19433 | 4 |
| 2204 | 19441 | 8 |
| 2205 | 19447 | 6 |
| 2206 | 19457 | 10 |
| 2207 | 19463 | 6 |
Questions
What is the 2204th prime number?
19441.
Which prime number is 19441?
19441 is the 2204th prime number.
What is the sum of the first 2204 primes?
20,027,267.