What is the 343rd prime number?
The 343rd prime number is 2309. The next prime is 2311 (a gap of 2) and the one before is 2297.
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 343rd one is 2309.
- 2
2309 is prime because no prime up to ā2309 ā 48.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 343rd prime is close to 343 Ć ln(343) ā 2002, and here it is 2309.
- 4
2309 is a twin prime: 2309 and 2311 are both prime.
Primes around the 343rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 340 | 2287 | 6 |
| 341 | 2293 | 6 |
| 342 | 2297 | 4 |
| 343 | 2309 | 12 |
| 344 | 2311 | 2 |
| 345 | 2333 | 22 |
| 346 | 2339 | 6 |
Questions
What is the 343rd prime number?
2309.
Which prime number is 2309?
2309 is the 343rd prime number.
What is the sum of the first 343 primes?
363,288.