What is the 4314th prime number?
The 4314th prime number is 41213. The next prime is 41221 (a gap of 8) and the one before is 41203.
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 4314th one is 41213.
- 2
41213 is prime because no prime up to ā41213 ā 203.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4314th prime is close to 4314 Ć ln(4314) ā 36107, and here it is 41213.
- 4
41213 has no twin: neither 41211 nor 41215 is prime.
Primes around the 4314th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4311 | 41189 | 6 |
| 4312 | 41201 | 12 |
| 4313 | 41203 | 2 |
| 4314 | 41213 | 10 |
| 4315 | 41221 | 8 |
| 4316 | 41227 | 6 |
| 4317 | 41231 | 4 |
Questions
What is the 4314th prime number?
41213.
Which prime number is 41213?
41213 is the 4314th prime number.
What is the sum of the first 4314 primes?
83,680,947.