What is the 347th prime number?
The 347th prime number is 2341. The next prime is 2347 (a gap of 6) and the one before is 2339.
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 347th one is 2341.
- 2
2341 is prime because no prime up to ā2341 ā 48.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 347th prime is close to 347 Ć ln(347) ā 2030, and here it is 2341.
- 4
2341 is a twin prime: 2339 and 2341 are both prime.
Primes around the 347th
| Position | Prime | Gap from the previous |
|---|---|---|
| 344 | 2311 | 2 |
| 345 | 2333 | 22 |
| 346 | 2339 | 6 |
| 347 | 2341 | 2 |
| 348 | 2347 | 6 |
| 349 | 2351 | 4 |
| 350 | 2357 | 6 |
Questions
What is the 347th prime number?
2341.
Which prime number is 2341?
2341 is the 347th prime number.
What is the sum of the first 347 primes?
372,612.