What is the 324th prime number?
The 324th prime number is 2143. The next prime is 2153 (a gap of 10) and the one before is 2141.
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 324th one is 2143.
- 2
2143 is prime because no prime up to ā2143 ā 46.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 324th prime is close to 324 Ć ln(324) ā 1873, and here it is 2143.
- 4
2143 is a twin prime: 2141 and 2143 are both prime.
Primes around the 324th
| Position | Prime | Gap from the previous |
|---|---|---|
| 321 | 2131 | 2 |
| 322 | 2137 | 6 |
| 323 | 2141 | 4 |
| 324 | 2143 | 2 |
| 325 | 2153 | 10 |
| 326 | 2161 | 8 |
| 327 | 2179 | 18 |
Questions
What is the 324th prime number?
2143.
Which prime number is 2143?
2143 is the 324th prime number.
What is the sum of the first 324 primes?
320,705.