What is the 6270th prime number?
The 6270th prime number is 62459. The next prime is 62467 (a gap of 8) and the one before is 62423.
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 6270th one is 62459.
- 2
62459 is prime because no prime up to ā62459 ā 249.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6270th prime is close to 6270 Ć ln(6270) ā 54822, and here it is 62459.
- 4
62459 has no twin: neither 62457 nor 62461 is prime.
Primes around the 6270th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6267 | 62401 | 18 |
| 6268 | 62417 | 16 |
| 6269 | 62423 | 6 |
| 6270 | 62459 | 36 |
| 6271 | 62467 | 8 |
| 6272 | 62473 | 6 |
| 6273 | 62477 | 4 |
Questions
What is the 6270th prime number?
62459.
Which prime number is 62459?
62459 is the 6270th prime number.
What is the sum of the first 6270 primes?
184,887,925.