What is the 6257th prime number?
The 6257th prime number is 62273. The next prime is 62297 (a gap of 24) and the one before is 62233.
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 6257th one is 62273.
- 2
62273 is prime because no prime up to ā62273 ā 249.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6257th prime is close to 6257 Ć ln(6257) ā 54695, and here it is 62273.
- 4
62273 has no twin: neither 62271 nor 62275 is prime.
Primes around the 6257th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6254 | 62213 | 6 |
| 6255 | 62219 | 6 |
| 6256 | 62233 | 14 |
| 6257 | 62273 | 40 |
| 6258 | 62297 | 24 |
| 6259 | 62299 | 2 |
| 6260 | 62303 | 4 |
Questions
What is the 6257th prime number?
62273.
Which prime number is 62273?
62273 is the 6257th prime number.
What is the sum of the first 6257 primes?
184,077,284.