What is the 318th prime number?
The 318th prime number is 2111. The next prime is 2113 (a gap of 2) and the one before is 2099.
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 318th one is 2111.
- 2
2111 is prime because no prime up to ā2111 ā 45.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 318th prime is close to 318 Ć ln(318) ā 1832, and here it is 2111.
- 4
2111 is a twin prime: 2111 and 2113 are both prime.
Primes around the 318th
| Position | Prime | Gap from the previous |
|---|---|---|
| 315 | 2087 | 4 |
| 316 | 2089 | 2 |
| 317 | 2099 | 10 |
| 318 | 2111 | 12 |
| 319 | 2113 | 2 |
| 320 | 2129 | 16 |
| 321 | 2131 | 2 |
Questions
What is the 318th prime number?
2111.
Which prime number is 2111?
2111 is the 318th prime number.
What is the sum of the first 318 primes?
307,911.