What is the 4316th prime number?
The 4316th prime number is 41227. The next prime is 41231 (a gap of 4) and the one before is 41221.
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 4316th one is 41227.
- 2
41227 is prime because no prime up to ā41227 ā 203.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4316th prime is close to 4316 Ć ln(4316) ā 36125, and here it is 41227.
- 4
41227 has no twin: neither 41225 nor 41229 is prime.
Primes around the 4316th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4313 | 41203 | 2 |
| 4314 | 41213 | 10 |
| 4315 | 41221 | 8 |
| 4316 | 41227 | 6 |
| 4317 | 41231 | 4 |
| 4318 | 41233 | 2 |
| 4319 | 41243 | 10 |
Questions
What is the 4316th prime number?
41227.
Which prime number is 41227?
41227 is the 4316th prime number.
What is the sum of the first 4316 primes?
83,763,395.