What is the 4327th prime number?
The 4327th prime number is 41351. The next prime is 41357 (a gap of 6) and the one before is 41341.
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 4327th one is 41351.
- 2
41351 is prime because no prime up to ā41351 ā 203.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4327th prime is close to 4327 Ć ln(4327) ā 36228, and here it is 41351.
- 4
41351 has no twin: neither 41349 nor 41353 is prime.
Primes around the 4327th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4324 | 41299 | 18 |
| 4325 | 41333 | 34 |
| 4326 | 41341 | 8 |
| 4327 | 41351 | 10 |
| 4328 | 41357 | 6 |
| 4329 | 41381 | 24 |
| 4330 | 41387 | 6 |
Questions
What is the 4327th prime number?
41351.
Which prime number is 41351?
41351 is the 4327th prime number.
What is the sum of the first 4327 primes?
84,217,496.