What is the 344th prime number?
The 344th prime number is 2311. The next prime is 2333 (a gap of 22) and the one before is 2309.
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 344th one is 2311.
- 2
2311 is prime because no prime up to ā2311 ā 48.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 344th prime is close to 344 Ć ln(344) ā 2009, and here it is 2311.
- 4
2311 is a twin prime: 2309 and 2311 are both prime.
Primes around the 344th
| Position | Prime | Gap from the previous |
|---|---|---|
| 341 | 2293 | 6 |
| 342 | 2297 | 4 |
| 343 | 2309 | 12 |
| 344 | 2311 | 2 |
| 345 | 2333 | 22 |
| 346 | 2339 | 6 |
| 347 | 2341 | 2 |
Questions
What is the 344th prime number?
2311.
Which prime number is 2311?
2311 is the 344th prime number.
What is the sum of the first 344 primes?
365,599.