What is the 6346th prime number?
The 6346th prime number is 63337. The next prime is 63347 (a gap of 10) and the one before is 63331.
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 6346th one is 63337.
- 2
63337 is prime because no prime up to ā63337 ā 251.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6346th prime is close to 6346 Ć ln(6346) ā 55563, and here it is 63337.
- 4
63337 has no twin: neither 63335 nor 63339 is prime.
Primes around the 6346th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6343 | 63313 | 2 |
| 6344 | 63317 | 4 |
| 6345 | 63331 | 14 |
| 6346 | 63337 | 6 |
| 6347 | 63347 | 10 |
| 6348 | 63353 | 6 |
| 6349 | 63361 | 8 |
Questions
What is the 6346th prime number?
63337.
Which prime number is 63337?
63337 is the 6346th prime number.
What is the sum of the first 6346 primes?
189,667,155.