What is the 5669th prime number?
The 5669th prime number is 55843. The next prime is 55849 (a gap of 6) and the one before is 55837.
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 5669th one is 55843.
- 2
55843 is prime because no prime up to ā55843 ā 236.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5669th prime is close to 5669 Ć ln(5669) ā 48996, and here it is 55843.
- 4
55843 has no twin: neither 55841 nor 55845 is prime.
Primes around the 5669th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5666 | 55823 | 4 |
| 5667 | 55829 | 6 |
| 5668 | 55837 | 8 |
| 5669 | 55843 | 6 |
| 5670 | 55849 | 6 |
| 5671 | 55871 | 22 |
| 5672 | 55889 | 18 |
Questions
What is the 5669th prime number?
55843.
Which prime number is 55843?
55843 is the 5669th prime number.
What is the sum of the first 5669 primes?
149,384,462.