What is the 6264th prime number?
The 6264th prime number is 62347. The next prime is 62351 (a gap of 4) and the one before is 62327.
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 6264th one is 62347.
- 2
62347 is prime because no prime up to ā62347 ā 249.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6264th prime is close to 6264 Ć ln(6264) ā 54763, and here it is 62347.
- 4
62347 has no twin: neither 62345 nor 62349 is prime.
Primes around the 6264th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6261 | 62311 | 8 |
| 6262 | 62323 | 12 |
| 6263 | 62327 | 4 |
| 6264 | 62347 | 20 |
| 6265 | 62351 | 4 |
| 6266 | 62383 | 32 |
| 6267 | 62401 | 18 |
Questions
What is the 6264th prime number?
62347.
Which prime number is 62347?
62347 is the 6264th prime number.
What is the sum of the first 6264 primes?
184,513,491.