What is the 5666th prime number?
The 5666th prime number is 55823. The next prime is 55829 (a gap of 6) and the one before is 55819.
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 5666th one is 55823.
- 2
55823 is prime because no prime up to ā55823 ā 236.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5666th prime is close to 5666 Ć ln(5666) ā 48967, and here it is 55823.
- 4
55823 has no twin: neither 55821 nor 55825 is prime.
Primes around the 5666th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5663 | 55813 | 6 |
| 5664 | 55817 | 4 |
| 5665 | 55819 | 2 |
| 5666 | 55823 | 4 |
| 5667 | 55829 | 6 |
| 5668 | 55837 | 8 |
| 5669 | 55843 | 6 |
Questions
What is the 5666th prime number?
55823.
Which prime number is 55823?
55823 is the 5666th prime number.
What is the sum of the first 5666 primes?
149,216,953.