What is the 216th prime number?
The 216th prime number is 1321. The next prime is 1327 (a gap of 6) and the one before is 1319.
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 216th one is 1321.
- 2
1321 is prime because no prime up to ā1321 ā 36.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 216th prime is close to 216 Ć ln(216) ā 1161, and here it is 1321.
- 4
1321 is a twin prime: 1319 and 1321 are both prime.
Primes around the 216th
| Position | Prime | Gap from the previous |
|---|---|---|
| 213 | 1303 | 2 |
| 214 | 1307 | 4 |
| 215 | 1319 | 12 |
| 216 | 1321 | 2 |
| 217 | 1327 | 6 |
| 218 | 1361 | 34 |
| 219 | 1367 | 6 |
Questions
What is the 216th prime number?
1321.
Which prime number is 1321?
1321 is the 216th prime number.
What is the sum of the first 216 primes?
132,059.