What is the 2208th prime number?
The 2208th prime number is 19469. The next prime is 19471 (a gap of 2) and the one before is 19463.
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 2208th one is 19469.
- 2
19469 is prime because no prime up to ā19469 ā 139.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2208th prime is close to 2208 Ć ln(2208) ā 17001, and here it is 19469.
- 4
19469 is a twin prime: 19469 and 19471 are both prime.
Primes around the 2208th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2205 | 19447 | 6 |
| 2206 | 19457 | 10 |
| 2207 | 19463 | 6 |
| 2208 | 19469 | 6 |
| 2209 | 19471 | 2 |
| 2210 | 19477 | 6 |
| 2211 | 19483 | 6 |
Questions
What is the 2208th prime number?
19469.
Which prime number is 19469?
19469 is the 2208th prime number.
What is the sum of the first 2208 primes?
20,105,103.