What is the 346th prime number?
The 346th prime number is 2339. The next prime is 2341 (a gap of 2) and the one before is 2333.
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 346th one is 2339.
- 2
2339 is prime because no prime up to ā2339 ā 48.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 346th prime is close to 346 Ć ln(346) ā 2023, and here it is 2339.
- 4
2339 is a twin prime: 2339 and 2341 are both prime.
Primes around the 346th
| Position | Prime | Gap from the previous |
|---|---|---|
| 343 | 2309 | 12 |
| 344 | 2311 | 2 |
| 345 | 2333 | 22 |
| 346 | 2339 | 6 |
| 347 | 2341 | 2 |
| 348 | 2347 | 6 |
| 349 | 2351 | 4 |
Questions
What is the 346th prime number?
2339.
Which prime number is 2339?
2339 is the 346th prime number.
What is the sum of the first 346 primes?
370,271.