What is the 5706th prime number?
The 5706th prime number is 56249. The next prime is 56263 (a gap of 14) and the one before is 56239.
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 5706th one is 56249.
- 2
56249 is prime because no prime up to ā56249 ā 237.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5706th prime is close to 5706 Ć ln(5706) ā 49353, and here it is 56249.
- 4
56249 has no twin: neither 56247 nor 56251 is prime.
Primes around the 5706th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5703 | 56209 | 2 |
| 5704 | 56237 | 28 |
| 5705 | 56239 | 2 |
| 5706 | 56249 | 10 |
| 5707 | 56263 | 14 |
| 5708 | 56267 | 4 |
| 5709 | 56269 | 2 |
Questions
What is the 5706th prime number?
56249.
Which prime number is 56249?
56249 is the 5706th prime number.
What is the sum of the first 5706 primes?
151,458,361.