What is the 6263rd prime number?
The 6263rd prime number is 62327. The next prime is 62347 (a gap of 20) and the one before is 62323.
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 6263rd one is 62327.
- 2
62327 is prime because no prime up to ā62327 ā 249.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6263rd prime is close to 6263 Ć ln(6263) ā 54754, and here it is 62327.
- 4
62327 has no twin: neither 62325 nor 62329 is prime.
Primes around the 6263rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6260 | 62303 | 4 |
| 6261 | 62311 | 8 |
| 6262 | 62323 | 12 |
| 6263 | 62327 | 4 |
| 6264 | 62347 | 20 |
| 6265 | 62351 | 4 |
| 6266 | 62383 | 32 |
Questions
What is the 6263rd prime number?
62327.
Which prime number is 62327?
62327 is the 6263rd prime number.
What is the sum of the first 6263 primes?
184,451,144.