What is the 336th prime number?
The 336th prime number is 2267. The next prime is 2269 (a gap of 2) and the one before is 2251.
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 336th one is 2267.
- 2
2267 is prime because no prime up to ā2267 ā 47.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 336th prime is close to 336 Ć ln(336) ā 1955, and here it is 2267.
- 4
2267 is a twin prime: 2267 and 2269 are both prime.
Primes around the 336th
| Position | Prime | Gap from the previous |
|---|---|---|
| 333 | 2239 | 2 |
| 334 | 2243 | 4 |
| 335 | 2251 | 8 |
| 336 | 2267 | 16 |
| 337 | 2269 | 2 |
| 338 | 2273 | 4 |
| 339 | 2281 | 8 |
Questions
What is the 336th prime number?
2267.
Which prime number is 2267?
2267 is the 336th prime number.
What is the sum of the first 336 primes?
347,279.