What is the 5702nd prime number?
The 5702nd prime number is 56207. The next prime is 56209 (a gap of 2) and the one before is 56197.
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 5702nd one is 56207.
- 2
56207 is prime because no prime up to ā56207 ā 237.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5702nd prime is close to 5702 Ć ln(5702) ā 49314, and here it is 56207.
- 4
56207 is a twin prime: 56207 and 56209 are both prime.
Primes around the 5702nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5699 | 56171 | 4 |
| 5700 | 56179 | 8 |
| 5701 | 56197 | 18 |
| 5702 | 56207 | 10 |
| 5703 | 56209 | 2 |
| 5704 | 56237 | 28 |
| 5705 | 56239 | 2 |
Questions
What is the 5702nd prime number?
56207.
Which prime number is 56207?
56207 is the 5702nd prime number.
What is the sum of the first 5702 primes?
151,233,427.