What is the 6271st prime number?
The 6271st prime number is 62467. The next prime is 62473 (a gap of 6) and the one before is 62459.
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 6271st one is 62467.
- 2
62467 is prime because no prime up to ā62467 ā 249.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6271st prime is close to 6271 Ć ln(6271) ā 54832, and here it is 62467.
- 4
62467 has no twin: neither 62465 nor 62469 is prime.
Primes around the 6271st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6268 | 62417 | 16 |
| 6269 | 62423 | 6 |
| 6270 | 62459 | 36 |
| 6271 | 62467 | 8 |
| 6272 | 62473 | 6 |
| 6273 | 62477 | 4 |
| 6274 | 62483 | 6 |
Questions
What is the 6271st prime number?
62467.
Which prime number is 62467?
62467 is the 6271st prime number.
What is the sum of the first 6271 primes?
184,950,392.