What is the 4315th prime number?
The 4315th prime number is 41221. The next prime is 41227 (a gap of 6) and the one before is 41213.
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 4315th one is 41221.
- 2
41221 is prime because no prime up to ā41221 ā 203.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4315th prime is close to 4315 Ć ln(4315) ā 36116, and here it is 41221.
- 4
41221 has no twin: neither 41219 nor 41223 is prime.
Primes around the 4315th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4312 | 41201 | 12 |
| 4313 | 41203 | 2 |
| 4314 | 41213 | 10 |
| 4315 | 41221 | 8 |
| 4316 | 41227 | 6 |
| 4317 | 41231 | 4 |
| 4318 | 41233 | 2 |
Questions
What is the 4315th prime number?
41221.
Which prime number is 41221?
41221 is the 4315th prime number.
What is the sum of the first 4315 primes?
83,722,168.