What is the 325th prime number?
The 325th prime number is 2153. The next prime is 2161 (a gap of 8) and the one before is 2143.
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 325th one is 2153.
- 2
2153 is prime because no prime up to ā2153 ā 46.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 325th prime is close to 325 Ć ln(325) ā 1880, and here it is 2153.
- 4
2153 has no twin: neither 2151 nor 2155 is prime.
Primes around the 325th
| Position | Prime | Gap from the previous |
|---|---|---|
| 322 | 2137 | 6 |
| 323 | 2141 | 4 |
| 324 | 2143 | 2 |
| 325 | 2153 | 10 |
| 326 | 2161 | 8 |
| 327 | 2179 | 18 |
| 328 | 2203 | 24 |
Questions
What is the 325th prime number?
2153.
Which prime number is 2153?
2153 is the 325th prime number.
What is the sum of the first 325 primes?
322,858.