What is the 5683rd prime number?
The 5683rd prime number is 55997. The next prime is 56003 (a gap of 6) and the one before is 55987.
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 5683rd one is 55997.
- 2
55997 is prime because no prime up to ā55997 ā 236.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5683rd prime is close to 5683 Ć ln(5683) ā 49131, and here it is 55997.
- 4
55997 has no twin: neither 55995 nor 55999 is prime.
Primes around the 5683rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5680 | 55949 | 16 |
| 5681 | 55967 | 18 |
| 5682 | 55987 | 20 |
| 5683 | 55997 | 10 |
| 5684 | 56003 | 6 |
| 5685 | 56009 | 6 |
| 5686 | 56039 | 30 |
Questions
What is the 5683rd prime number?
55997.
Which prime number is 55997?
55997 is the 5683rd prime number.
What is the sum of the first 5683 primes?
150,167,384.