What is the 211th prime number?
The 211th prime number is 1297. The next prime is 1301 (a gap of 4) and the one before is 1291.
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 211th one is 1297.
- 2
1297 is prime because no prime up to ā1297 ā 36.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 211th prime is close to 211 Ć ln(211) ā 1129, and here it is 1297.
- 4
1297 has no twin: neither 1295 nor 1299 is prime.
Primes around the 211th
| Position | Prime | Gap from the previous |
|---|---|---|
| 208 | 1283 | 4 |
| 209 | 1289 | 6 |
| 210 | 1291 | 2 |
| 211 | 1297 | 6 |
| 212 | 1301 | 4 |
| 213 | 1303 | 2 |
| 214 | 1307 | 4 |
Questions
What is the 211th prime number?
1297.
Which prime number is 1297?
1297 is the 211th prime number.
What is the sum of the first 211 primes?
125,508.