What is the 5684th prime number?
The 5684th prime number is 56003. The next prime is 56009 (a gap of 6) and the one before is 55997.
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 5684th one is 56003.
- 2
56003 is prime because no prime up to ā56003 ā 236.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5684th prime is close to 5684 Ć ln(5684) ā 49141, and here it is 56003.
- 4
56003 has no twin: neither 56001 nor 56005 is prime.
Primes around the 5684th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5681 | 55967 | 18 |
| 5682 | 55987 | 20 |
| 5683 | 55997 | 10 |
| 5684 | 56003 | 6 |
| 5685 | 56009 | 6 |
| 5686 | 56039 | 30 |
| 5687 | 56041 | 2 |
Questions
What is the 5684th prime number?
56003.
Which prime number is 56003?
56003 is the 5684th prime number.
What is the sum of the first 5684 primes?
150,223,387.