What is the 210th prime number?
The 210th prime number is 1291. The next prime is 1297 (a gap of 6) and the one before is 1289.
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 210th one is 1291.
- 2
1291 is prime because no prime up to ā1291 ā 35.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 210th prime is close to 210 Ć ln(210) ā 1123, and here it is 1291.
- 4
1291 is a twin prime: 1289 and 1291 are both prime.
Primes around the 210th
| Position | Prime | Gap from the previous |
|---|---|---|
| 207 | 1279 | 2 |
| 208 | 1283 | 4 |
| 209 | 1289 | 6 |
| 210 | 1291 | 2 |
| 211 | 1297 | 6 |
| 212 | 1301 | 4 |
| 213 | 1303 | 2 |
Questions
What is the 210th prime number?
1291.
Which prime number is 1291?
1291 is the 210th prime number.
What is the sum of the first 210 primes?
124,211.