What is the 320th prime number?
The 320th prime number is 2129. The next prime is 2131 (a gap of 2) and the one before is 2113.
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 320th one is 2129.
- 2
2129 is prime because no prime up to ā2129 ā 46.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 320th prime is close to 320 Ć ln(320) ā 1846, and here it is 2129.
- 4
2129 is a twin prime: 2129 and 2131 are both prime.
Primes around the 320th
| Position | Prime | Gap from the previous |
|---|---|---|
| 317 | 2099 | 10 |
| 318 | 2111 | 12 |
| 319 | 2113 | 2 |
| 320 | 2129 | 16 |
| 321 | 2131 | 2 |
| 322 | 2137 | 6 |
| 323 | 2141 | 4 |
Questions
What is the 320th prime number?
2129.
Which prime number is 2129?
2129 is the 320th prime number.
What is the sum of the first 320 primes?
312,153.