What is the 4328th prime number?
The 4328th prime number is 41357. The next prime is 41381 (a gap of 24) and the one before is 41351.
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 4328th one is 41357.
- 2
41357 is prime because no prime up to ā41357 ā 203.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4328th prime is close to 4328 Ć ln(4328) ā 36238, and here it is 41357.
- 4
41357 has no twin: neither 41355 nor 41359 is prime.
Primes around the 4328th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4325 | 41333 | 34 |
| 4326 | 41341 | 8 |
| 4327 | 41351 | 10 |
| 4328 | 41357 | 6 |
| 4329 | 41381 | 24 |
| 4330 | 41387 | 6 |
| 4331 | 41389 | 2 |
Questions
What is the 4328th prime number?
41357.
Which prime number is 41357?
41357 is the 4328th prime number.
What is the sum of the first 4328 primes?
84,258,853.