What is the 215th prime number?
The 215th prime number is 1319. The next prime is 1321 (a gap of 2) and the one before is 1307.
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 215th one is 1319.
- 2
1319 is prime because no prime up to ā1319 ā 36.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 215th prime is close to 215 Ć ln(215) ā 1155, and here it is 1319.
- 4
1319 is a twin prime: 1319 and 1321 are both prime.
Primes around the 215th
| Position | Prime | Gap from the previous |
|---|---|---|
| 212 | 1301 | 4 |
| 213 | 1303 | 2 |
| 214 | 1307 | 4 |
| 215 | 1319 | 12 |
| 216 | 1321 | 2 |
| 217 | 1327 | 6 |
| 218 | 1361 | 34 |
Questions
What is the 215th prime number?
1319.
Which prime number is 1319?
1319 is the 215th prime number.
What is the sum of the first 215 primes?
130,738.