What is the 6269th prime number?
The 6269th prime number is 62423. The next prime is 62459 (a gap of 36) and the one before is 62417.
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 6269th one is 62423.
- 2
62423 is prime because no prime up to ā62423 ā 249.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6269th prime is close to 6269 Ć ln(6269) ā 54812, and here it is 62423.
- 4
62423 has no twin: neither 62421 nor 62425 is prime.
Primes around the 6269th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6266 | 62383 | 32 |
| 6267 | 62401 | 18 |
| 6268 | 62417 | 16 |
| 6269 | 62423 | 6 |
| 6270 | 62459 | 36 |
| 6271 | 62467 | 8 |
| 6272 | 62473 | 6 |
Questions
What is the 6269th prime number?
62423.
Which prime number is 62423?
62423 is the 6269th prime number.
What is the sum of the first 6269 primes?
184,825,466.