What is the 5668th prime number?
The 5668th prime number is 55837. The next prime is 55843 (a gap of 6) and the one before is 55829.
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 5668th one is 55837.
- 2
55837 is prime because no prime up to ā55837 ā 236.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5668th prime is close to 5668 Ć ln(5668) ā 48986, and here it is 55837.
- 4
55837 has no twin: neither 55835 nor 55839 is prime.
Primes around the 5668th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5665 | 55819 | 2 |
| 5666 | 55823 | 4 |
| 5667 | 55829 | 6 |
| 5668 | 55837 | 8 |
| 5669 | 55843 | 6 |
| 5670 | 55849 | 6 |
| 5671 | 55871 | 22 |
Questions
What is the 5668th prime number?
55837.
Which prime number is 55837?
55837 is the 5668th prime number.
What is the sum of the first 5668 primes?
149,328,619.