What is the 6253rd prime number?
The 6253rd prime number is 62207. The next prime is 62213 (a gap of 6) and the one before is 62201.
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 6253rd one is 62207.
- 2
62207 is prime because no prime up to ā62207 ā 249.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6253rd prime is close to 6253 Ć ln(6253) ā 54656, and here it is 62207.
- 4
62207 has no twin: neither 62205 nor 62209 is prime.
Primes around the 6253rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6250 | 62189 | 18 |
| 6251 | 62191 | 2 |
| 6252 | 62201 | 10 |
| 6253 | 62207 | 6 |
| 6254 | 62213 | 6 |
| 6255 | 62219 | 6 |
| 6256 | 62233 | 14 |
Questions
What is the 6253rd prime number?
62207.
Which prime number is 62207?
62207 is the 6253rd prime number.
What is the sum of the first 6253 primes?
183,828,346.