What is the 334th prime number?
The 334th prime number is 2243. The next prime is 2251 (a gap of 8) and the one before is 2239.
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 334th one is 2243.
- 2
2243 is prime because no prime up to ā2243 ā 47.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 334th prime is close to 334 Ć ln(334) ā 1941, and here it is 2243.
- 4
2243 has no twin: neither 2241 nor 2245 is prime.
Primes around the 334th
| Position | Prime | Gap from the previous |
|---|---|---|
| 331 | 2221 | 8 |
| 332 | 2237 | 16 |
| 333 | 2239 | 2 |
| 334 | 2243 | 4 |
| 335 | 2251 | 8 |
| 336 | 2267 | 16 |
| 337 | 2269 | 2 |
Questions
What is the 334th prime number?
2243.
Which prime number is 2243?
2243 is the 334th prime number.
What is the sum of the first 334 primes?
342,761.