What is the 2209th prime number?
The 2209th prime number is 19471. The next prime is 19477 (a gap of 6) and the one before is 19469.
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 2209th one is 19471.
- 2
19471 is prime because no prime up to ā19471 ā 139.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2209th prime is close to 2209 Ć ln(2209) ā 17010, and here it is 19471.
- 4
19471 is a twin prime: 19469 and 19471 are both prime.
Primes around the 2209th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2206 | 19457 | 10 |
| 2207 | 19463 | 6 |
| 2208 | 19469 | 6 |
| 2209 | 19471 | 2 |
| 2210 | 19477 | 6 |
| 2211 | 19483 | 6 |
| 2212 | 19489 | 6 |
Questions
What is the 2209th prime number?
19471.
Which prime number is 19471?
19471 is the 2209th prime number.
What is the sum of the first 2209 primes?
20,124,574.