What is the 5703rd prime number?
The 5703rd prime number is 56209. The next prime is 56237 (a gap of 28) and the one before is 56207.
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 5703rd one is 56209.
- 2
56209 is prime because no prime up to ā56209 ā 237.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5703rd prime is close to 5703 Ć ln(5703) ā 49324, and here it is 56209.
- 4
56209 is a twin prime: 56207 and 56209 are both prime.
Primes around the 5703rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5700 | 56179 | 8 |
| 5701 | 56197 | 18 |
| 5702 | 56207 | 10 |
| 5703 | 56209 | 2 |
| 5704 | 56237 | 28 |
| 5705 | 56239 | 2 |
| 5706 | 56249 | 10 |
Questions
What is the 5703rd prime number?
56209.
Which prime number is 56209?
56209 is the 5703rd prime number.
What is the sum of the first 5703 primes?
151,289,636.