What is the 212th prime number?
The 212th prime number is 1301. The next prime is 1303 (a gap of 2) and the one before is 1297.
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 212th one is 1301.
- 2
1301 is prime because no prime up to ā1301 ā 36.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 212th prime is close to 212 Ć ln(212) ā 1136, and here it is 1301.
- 4
1301 is a twin prime: 1301 and 1303 are both prime.
Primes around the 212th
| Position | Prime | Gap from the previous |
|---|---|---|
| 209 | 1289 | 6 |
| 210 | 1291 | 2 |
| 211 | 1297 | 6 |
| 212 | 1301 | 4 |
| 213 | 1303 | 2 |
| 214 | 1307 | 4 |
| 215 | 1319 | 12 |
Questions
What is the 212th prime number?
1301.
Which prime number is 1301?
1301 is the 212th prime number.
What is the sum of the first 212 primes?
126,809.