What is the 6252nd prime number?
The 6252nd prime number is 62201. The next prime is 62207 (a gap of 6) and the one before is 62191.
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 6252nd one is 62201.
- 2
62201 is prime because no prime up to ā62201 ā 249.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6252nd prime is close to 6252 Ć ln(6252) ā 54647, and here it is 62201.
- 4
62201 has no twin: neither 62199 nor 62203 is prime.
Primes around the 6252nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6249 | 62171 | 28 |
| 6250 | 62189 | 18 |
| 6251 | 62191 | 2 |
| 6252 | 62201 | 10 |
| 6253 | 62207 | 6 |
| 6254 | 62213 | 6 |
| 6255 | 62219 | 6 |
Questions
What is the 6252nd prime number?
62201.
Which prime number is 62201?
62201 is the 6252nd prime number.
What is the sum of the first 6252 primes?
183,766,139.