What is the 5708th prime number?
The 5708th prime number is 56267. The next prime is 56269 (a gap of 2) and the one before is 56263.
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 5708th one is 56267.
- 2
56267 is prime because no prime up to ā56267 ā 237.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5708th prime is close to 5708 Ć ln(5708) ā 49372, and here it is 56267.
- 4
56267 is a twin prime: 56267 and 56269 are both prime.
Primes around the 5708th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5705 | 56239 | 2 |
| 5706 | 56249 | 10 |
| 5707 | 56263 | 14 |
| 5708 | 56267 | 4 |
| 5709 | 56269 | 2 |
| 5710 | 56299 | 30 |
| 5711 | 56311 | 12 |
Questions
What is the 5708th prime number?
56267.
Which prime number is 56267?
56267 is the 5708th prime number.
What is the sum of the first 5708 primes?
151,570,891.