What is the 337th prime number?
The 337th prime number is 2269. The next prime is 2273 (a gap of 4) and the one before is 2267.
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 337th one is 2269.
- 2
2269 is prime because no prime up to ā2269 ā 47.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 337th prime is close to 337 Ć ln(337) ā 1961, and here it is 2269.
- 4
2269 is a twin prime: 2267 and 2269 are both prime.
Primes around the 337th
| Position | Prime | Gap from the previous |
|---|---|---|
| 334 | 2243 | 4 |
| 335 | 2251 | 8 |
| 336 | 2267 | 16 |
| 337 | 2269 | 2 |
| 338 | 2273 | 4 |
| 339 | 2281 | 8 |
| 340 | 2287 | 6 |
Questions
What is the 337th prime number?
2269.
Which prime number is 2269?
2269 is the 337th prime number.
What is the sum of the first 337 primes?
349,548.