What is the 339th prime number?
The 339th prime number is 2281. The next prime is 2287 (a gap of 6) and the one before is 2273.
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 339th one is 2281.
- 2
2281 is prime because no prime up to ā2281 ā 47.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 339th prime is close to 339 Ć ln(339) ā 1975, and here it is 2281.
- 4
2281 has no twin: neither 2279 nor 2283 is prime.
Primes around the 339th
| Position | Prime | Gap from the previous |
|---|---|---|
| 336 | 2267 | 16 |
| 337 | 2269 | 2 |
| 338 | 2273 | 4 |
| 339 | 2281 | 8 |
| 340 | 2287 | 6 |
| 341 | 2293 | 6 |
| 342 | 2297 | 4 |
Questions
What is the 339th prime number?
2281.
Which prime number is 2281?
2281 is the 339th prime number.
What is the sum of the first 339 primes?
354,102.