What is the 4325th prime number?
The 4325th prime number is 41333. The next prime is 41341 (a gap of 8) and the one before is 41299.
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 4325th one is 41333.
- 2
41333 is prime because no prime up to ā41333 ā 203.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4325th prime is close to 4325 Ć ln(4325) ā 36210, and here it is 41333.
- 4
41333 has no twin: neither 41331 nor 41335 is prime.
Primes around the 4325th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4322 | 41269 | 6 |
| 4323 | 41281 | 12 |
| 4324 | 41299 | 18 |
| 4325 | 41333 | 34 |
| 4326 | 41341 | 8 |
| 4327 | 41351 | 10 |
| 4328 | 41357 | 6 |
Questions
What is the 4325th prime number?
41333.
Which prime number is 41333?
41333 is the 4325th prime number.
What is the sum of the first 4325 primes?
84,134,804.