What is the 217th prime number?
The 217th prime number is 1327. The next prime is 1361 (a gap of 34) and the one before is 1321.
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 217th one is 1327.
- 2
1327 is prime because no prime up to ā1327 ā 36.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 217th prime is close to 217 Ć ln(217) ā 1167, and here it is 1327.
- 4
1327 has no twin: neither 1325 nor 1329 is prime.
Primes around the 217th
| Position | Prime | Gap from the previous |
|---|---|---|
| 214 | 1307 | 4 |
| 215 | 1319 | 12 |
| 216 | 1321 | 2 |
| 217 | 1327 | 6 |
| 218 | 1361 | 34 |
| 219 | 1367 | 6 |
| 220 | 1373 | 6 |
Questions
What is the 217th prime number?
1327.
Which prime number is 1327?
1327 is the 217th prime number.
What is the sum of the first 217 primes?
133,386.