What is the 4348th prime number?
The 4348th prime number is 41593. The next prime is 41597 (a gap of 4) and the one before is 41579.
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 4348th one is 41593.
- 2
41593 is prime because no prime up to ā41593 ā 203.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4348th prime is close to 4348 Ć ln(4348) ā 36425, and here it is 41593.
- 4
41593 has no twin: neither 41591 nor 41595 is prime.
Primes around the 4348th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4345 | 41543 | 4 |
| 4346 | 41549 | 6 |
| 4347 | 41579 | 30 |
| 4348 | 41593 | 14 |
| 4349 | 41597 | 4 |
| 4350 | 41603 | 6 |
| 4351 | 41609 | 6 |
Questions
What is the 4348th prime number?
41593.
Which prime number is 41593?
41593 is the 4348th prime number.
What is the sum of the first 4348 primes?
85,088,429.