What is the 4318th prime number?
The 4318th prime number is 41233. The next prime is 41243 (a gap of 10) and the one before is 41231.
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 4318th one is 41233.
- 2
41233 is prime because no prime up to ā41233 ā 203.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4318th prime is close to 4318 Ć ln(4318) ā 36144, and here it is 41233.
- 4
41233 is a twin prime: 41231 and 41233 are both prime.
Primes around the 4318th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4315 | 41221 | 8 |
| 4316 | 41227 | 6 |
| 4317 | 41231 | 4 |
| 4318 | 41233 | 2 |
| 4319 | 41243 | 10 |
| 4320 | 41257 | 14 |
| 4321 | 41263 | 6 |
Questions
What is the 4318th prime number?
41233.
Which prime number is 41233?
41233 is the 4318th prime number.
What is the sum of the first 4318 primes?
83,845,859.