What is the 6349th prime number?
The 6349th prime number is 63361. The next prime is 63367 (a gap of 6) and the one before is 63353.
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 6349th one is 63361.
- 2
63361 is prime because no prime up to ā63361 ā 251.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6349th prime is close to 6349 Ć ln(6349) ā 55592, and here it is 63361.
- 4
63361 has no twin: neither 63359 nor 63363 is prime.
Primes around the 6349th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6346 | 63337 | 6 |
| 6347 | 63347 | 10 |
| 6348 | 63353 | 6 |
| 6349 | 63361 | 8 |
| 6350 | 63367 | 6 |
| 6351 | 63377 | 10 |
| 6352 | 63389 | 12 |
Questions
What is the 6349th prime number?
63361.
Which prime number is 63361?
63361 is the 6349th prime number.
What is the sum of the first 6349 primes?
189,857,216.