What is the 6268th prime number?
The 6268th prime number is 62417. The next prime is 62423 (a gap of 6) and the one before is 62401.
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 6268th one is 62417.
- 2
62417 is prime because no prime up to ā62417 ā 249.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6268th prime is close to 6268 Ć ln(6268) ā 54802, and here it is 62417.
- 4
62417 has no twin: neither 62415 nor 62419 is prime.
Primes around the 6268th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6265 | 62351 | 4 |
| 6266 | 62383 | 32 |
| 6267 | 62401 | 18 |
| 6268 | 62417 | 16 |
| 6269 | 62423 | 6 |
| 6270 | 62459 | 36 |
| 6271 | 62467 | 8 |
Questions
What is the 6268th prime number?
62417.
Which prime number is 62417?
62417 is the 6268th prime number.
What is the sum of the first 6268 primes?
184,763,043.