What is the 6266th prime number?
The 6266th prime number is 62383. The next prime is 62401 (a gap of 18) and the one before is 62351.
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 6266th one is 62383.
- 2
62383 is prime because no prime up to ā62383 ā 249.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6266th prime is close to 6266 Ć ln(6266) ā 54783, and here it is 62383.
- 4
62383 has no twin: neither 62381 nor 62385 is prime.
Primes around the 6266th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6263 | 62327 | 4 |
| 6264 | 62347 | 20 |
| 6265 | 62351 | 4 |
| 6266 | 62383 | 32 |
| 6267 | 62401 | 18 |
| 6268 | 62417 | 16 |
| 6269 | 62423 | 6 |
Questions
What is the 6266th prime number?
62383.
Which prime number is 62383?
62383 is the 6266th prime number.
What is the sum of the first 6266 primes?
184,638,225.