What is the 4329th prime number?
The 4329th prime number is 41381. The next prime is 41387 (a gap of 6) and the one before is 41357.
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 4329th one is 41381.
- 2
41381 is prime because no prime up to ā41381 ā 203.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4329th prime is close to 4329 Ć ln(4329) ā 36247, and here it is 41381.
- 4
41381 has no twin: neither 41379 nor 41383 is prime.
Primes around the 4329th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4326 | 41341 | 8 |
| 4327 | 41351 | 10 |
| 4328 | 41357 | 6 |
| 4329 | 41381 | 24 |
| 4330 | 41387 | 6 |
| 4331 | 41389 | 2 |
| 4332 | 41399 | 10 |
Questions
What is the 4329th prime number?
41381.
Which prime number is 41381?
41381 is the 4329th prime number.
What is the sum of the first 4329 primes?
84,300,234.