What is the 219th prime number?
The 219th prime number is 1367. The next prime is 1373 (a gap of 6) and the one before is 1361.
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 219th one is 1367.
- 2
1367 is prime because no prime up to ā1367 ā 36.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 219th prime is close to 219 Ć ln(219) ā 1180, and here it is 1367.
- 4
1367 has no twin: neither 1365 nor 1369 is prime.
Primes around the 219th
| Position | Prime | Gap from the previous |
|---|---|---|
| 216 | 1321 | 2 |
| 217 | 1327 | 6 |
| 218 | 1361 | 34 |
| 219 | 1367 | 6 |
| 220 | 1373 | 6 |
| 221 | 1381 | 8 |
| 222 | 1399 | 18 |
Questions
What is the 219th prime number?
1367.
Which prime number is 1367?
1367 is the 219th prime number.
What is the sum of the first 219 primes?
136,114.