What is the 4324th prime number?
The 4324th prime number is 41299. The next prime is 41333 (a gap of 34) and the one before is 41281.
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 4324th one is 41299.
- 2
41299 is prime because no prime up to ā41299 ā 203.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4324th prime is close to 4324 Ć ln(4324) ā 36200, and here it is 41299.
- 4
41299 has no twin: neither 41297 nor 41301 is prime.
Primes around the 4324th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4321 | 41263 | 6 |
| 4322 | 41269 | 6 |
| 4323 | 41281 | 12 |
| 4324 | 41299 | 18 |
| 4325 | 41333 | 34 |
| 4326 | 41341 | 8 |
| 4327 | 41351 | 10 |
Questions
What is the 4324th prime number?
41299.
Which prime number is 41299?
41299 is the 4324th prime number.
What is the sum of the first 4324 primes?
84,093,471.