What is the 4347th prime number?
The 4347th prime number is 41579. The next prime is 41593 (a gap of 14) and the one before is 41549.
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 4347th one is 41579.
- 2
41579 is prime because no prime up to ā41579 ā 203.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4347th prime is close to 4347 Ć ln(4347) ā 36416, and here it is 41579.
- 4
41579 has no twin: neither 41577 nor 41581 is prime.
Primes around the 4347th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4344 | 41539 | 18 |
| 4345 | 41543 | 4 |
| 4346 | 41549 | 6 |
| 4347 | 41579 | 30 |
| 4348 | 41593 | 14 |
| 4349 | 41597 | 4 |
| 4350 | 41603 | 6 |
Questions
What is the 4347th prime number?
41579.
Which prime number is 41579?
41579 is the 4347th prime number.
What is the sum of the first 4347 primes?
85,046,836.