What is the 6348th prime number?
The 6348th prime number is 63353. The next prime is 63361 (a gap of 8) and the one before is 63347.
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 6348th one is 63353.
- 2
63353 is prime because no prime up to ā63353 ā 251.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6348th prime is close to 6348 Ć ln(6348) ā 55582, and here it is 63353.
- 4
63353 has no twin: neither 63351 nor 63355 is prime.
Primes around the 6348th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6345 | 63331 | 14 |
| 6346 | 63337 | 6 |
| 6347 | 63347 | 10 |
| 6348 | 63353 | 6 |
| 6349 | 63361 | 8 |
| 6350 | 63367 | 6 |
| 6351 | 63377 | 10 |
Questions
What is the 6348th prime number?
63353.
Which prime number is 63353?
63353 is the 6348th prime number.
What is the sum of the first 6348 primes?
189,793,855.