What is the 5705th prime number?
The 5705th prime number is 56239. The next prime is 56249 (a gap of 10) and the one before is 56237.
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 5705th one is 56239.
- 2
56239 is prime because no prime up to ā56239 ā 237.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5705th prime is close to 5705 Ć ln(5705) ā 49343, and here it is 56239.
- 4
56239 is a twin prime: 56237 and 56239 are both prime.
Primes around the 5705th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5702 | 56207 | 10 |
| 5703 | 56209 | 2 |
| 5704 | 56237 | 28 |
| 5705 | 56239 | 2 |
| 5706 | 56249 | 10 |
| 5707 | 56263 | 14 |
| 5708 | 56267 | 4 |
Questions
What is the 5705th prime number?
56239.
Which prime number is 56239?
56239 is the 5705th prime number.
What is the sum of the first 5705 primes?
151,402,112.