What is the 4349th prime number?
The 4349th prime number is 41597. The next prime is 41603 (a gap of 6) and the one before is 41593.
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 4349th one is 41597.
- 2
41597 is prime because no prime up to ā41597 ā 203.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4349th prime is close to 4349 Ć ln(4349) ā 36435, and here it is 41597.
- 4
41597 has no twin: neither 41595 nor 41599 is prime.
Primes around the 4349th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4346 | 41549 | 6 |
| 4347 | 41579 | 30 |
| 4348 | 41593 | 14 |
| 4349 | 41597 | 4 |
| 4350 | 41603 | 6 |
| 4351 | 41609 | 6 |
| 4352 | 41611 | 2 |
Questions
What is the 4349th prime number?
41597.
Which prime number is 41597?
41597 is the 4349th prime number.
What is the sum of the first 4349 primes?
85,130,026.