What is the 6267th prime number?
The 6267th prime number is 62401. The next prime is 62417 (a gap of 16) and the one before is 62383.
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 6267th one is 62401.
- 2
62401 is prime because no prime up to ā62401 ā 249.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6267th prime is close to 6267 Ć ln(6267) ā 54793, and here it is 62401.
- 4
62401 has no twin: neither 62399 nor 62403 is prime.
Primes around the 6267th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6264 | 62347 | 20 |
| 6265 | 62351 | 4 |
| 6266 | 62383 | 32 |
| 6267 | 62401 | 18 |
| 6268 | 62417 | 16 |
| 6269 | 62423 | 6 |
| 6270 | 62459 | 36 |
Questions
What is the 6267th prime number?
62401.
Which prime number is 62401?
62401 is the 6267th prime number.
What is the sum of the first 6267 primes?
184,700,626.