What is the 4326th prime number?
The 4326th prime number is 41341. The next prime is 41351 (a gap of 10) and the one before is 41333.
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 4326th one is 41341.
- 2
41341 is prime because no prime up to ā41341 ā 203.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4326th prime is close to 4326 Ć ln(4326) ā 36219, and here it is 41341.
- 4
41341 has no twin: neither 41339 nor 41343 is prime.
Primes around the 4326th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4323 | 41281 | 12 |
| 4324 | 41299 | 18 |
| 4325 | 41333 | 34 |
| 4326 | 41341 | 8 |
| 4327 | 41351 | 10 |
| 4328 | 41357 | 6 |
| 4329 | 41381 | 24 |
Questions
What is the 4326th prime number?
41341.
Which prime number is 41341?
41341 is the 4326th prime number.
What is the sum of the first 4326 primes?
84,176,145.