What is the 5704th prime number?
The 5704th prime number is 56237. The next prime is 56239 (a gap of 2) and the one before is 56209.
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 5704th one is 56237.
- 2
56237 is prime because no prime up to ā56237 ā 237.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5704th prime is close to 5704 Ć ln(5704) ā 49333, and here it is 56237.
- 4
56237 is a twin prime: 56237 and 56239 are both prime.
Primes around the 5704th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5701 | 56197 | 18 |
| 5702 | 56207 | 10 |
| 5703 | 56209 | 2 |
| 5704 | 56237 | 28 |
| 5705 | 56239 | 2 |
| 5706 | 56249 | 10 |
| 5707 | 56263 | 14 |
Questions
What is the 5704th prime number?
56237.
Which prime number is 56237?
56237 is the 5704th prime number.
What is the sum of the first 5704 primes?
151,345,873.