What is the 6254th prime number?
The 6254th prime number is 62213. The next prime is 62219 (a gap of 6) and the one before is 62207.
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 6254th one is 62213.
- 2
62213 is prime because no prime up to ā62213 ā 249.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6254th prime is close to 6254 Ć ln(6254) ā 54666, and here it is 62213.
- 4
62213 has no twin: neither 62211 nor 62215 is prime.
Primes around the 6254th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6251 | 62191 | 2 |
| 6252 | 62201 | 10 |
| 6253 | 62207 | 6 |
| 6254 | 62213 | 6 |
| 6255 | 62219 | 6 |
| 6256 | 62233 | 14 |
| 6257 | 62273 | 40 |
Questions
What is the 6254th prime number?
62213.
Which prime number is 62213?
62213 is the 6254th prime number.
What is the sum of the first 6254 primes?
183,890,559.