What is the 5686th prime number?
The 5686th prime number is 56039. The next prime is 56041 (a gap of 2) and the one before is 56009.
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 5686th one is 56039.
- 2
56039 is prime because no prime up to ā56039 ā 236.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5686th prime is close to 5686 Ć ln(5686) ā 49160, and here it is 56039.
- 4
56039 is a twin prime: 56039 and 56041 are both prime.
Primes around the 5686th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5683 | 55997 | 10 |
| 5684 | 56003 | 6 |
| 5685 | 56009 | 6 |
| 5686 | 56039 | 30 |
| 5687 | 56041 | 2 |
| 5688 | 56053 | 12 |
| 5689 | 56081 | 28 |
Questions
What is the 5686th prime number?
56039.
Which prime number is 56039?
56039 is the 5686th prime number.
What is the sum of the first 5686 primes?
150,335,435.