What is the 209th prime number?
The 209th prime number is 1289. The next prime is 1291 (a gap of 2) and the one before is 1283.
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 209th one is 1289.
- 2
1289 is prime because no prime up to ā1289 ā 35.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 209th prime is close to 209 Ć ln(209) ā 1117, and here it is 1289.
- 4
1289 is a twin prime: 1289 and 1291 are both prime.
Primes around the 209th
| Position | Prime | Gap from the previous |
|---|---|---|
| 206 | 1277 | 18 |
| 207 | 1279 | 2 |
| 208 | 1283 | 4 |
| 209 | 1289 | 6 |
| 210 | 1291 | 2 |
| 211 | 1297 | 6 |
| 212 | 1301 | 4 |
Questions
What is the 209th prime number?
1289.
Which prime number is 1289?
1289 is the 209th prime number.
What is the sum of the first 209 primes?
122,920.