What is the 239th prime number?
The 239th prime number is 1499. The next prime is 1511 (a gap of 12) and the one before is 1493.
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 239th one is 1499.
- 2
1499 is prime because no prime up to ā1499 ā 38.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 239th prime is close to 239 Ć ln(239) ā 1309, and here it is 1499.
- 4
1499 has no twin: neither 1497 nor 1501 is prime.
Primes around the 239th
| Position | Prime | Gap from the previous |
|---|---|---|
| 236 | 1487 | 4 |
| 237 | 1489 | 2 |
| 238 | 1493 | 4 |
| 239 | 1499 | 6 |
| 240 | 1511 | 12 |
| 241 | 1523 | 12 |
| 242 | 1531 | 8 |
Questions
What is the 239th prime number?
1499.
Which prime number is 1499?
1499 is the 239th prime number.
What is the sum of the first 239 primes?
165,040.