What is the 6256th prime number?
The 6256th prime number is 62233. The next prime is 62273 (a gap of 40) and the one before is 62219.
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 6256th one is 62233.
- 2
62233 is prime because no prime up to ā62233 ā 249.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6256th prime is close to 6256 Ć ln(6256) ā 54686, and here it is 62233.
- 4
62233 has no twin: neither 62231 nor 62235 is prime.
Primes around the 6256th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6253 | 62207 | 6 |
| 6254 | 62213 | 6 |
| 6255 | 62219 | 6 |
| 6256 | 62233 | 14 |
| 6257 | 62273 | 40 |
| 6258 | 62297 | 24 |
| 6259 | 62299 | 2 |
Questions
What is the 6256th prime number?
62233.
Which prime number is 62233?
62233 is the 6256th prime number.
What is the sum of the first 6256 primes?
184,015,011.