What is the 5685th prime number?
The 5685th prime number is 56009. The next prime is 56039 (a gap of 30) and the one before is 56003.
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 5685th one is 56009.
- 2
56009 is prime because no prime up to ā56009 ā 236.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5685th prime is close to 5685 Ć ln(5685) ā 49150, and here it is 56009.
- 4
56009 has no twin: neither 56007 nor 56011 is prime.
Primes around the 5685th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5682 | 55987 | 20 |
| 5683 | 55997 | 10 |
| 5684 | 56003 | 6 |
| 5685 | 56009 | 6 |
| 5686 | 56039 | 30 |
| 5687 | 56041 | 2 |
| 5688 | 56053 | 12 |
Questions
What is the 5685th prime number?
56009.
Which prime number is 56009?
56009 is the 5685th prime number.
What is the sum of the first 5685 primes?
150,279,396.