What is the 5566th prime number?
The 5566th prime number is 54709. The next prime is 54713 (a gap of 4) and the one before is 54679.
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 5566th one is 54709.
- 2
54709 is prime because no prime up to ā54709 ā 233.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5566th prime is close to 5566 Ć ln(5566) ā 48004, and here it is 54709.
- 4
54709 has no twin: neither 54707 nor 54711 is prime.
Primes around the 5566th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5563 | 54667 | 20 |
| 5564 | 54673 | 6 |
| 5565 | 54679 | 6 |
| 5566 | 54709 | 30 |
| 5567 | 54713 | 4 |
| 5568 | 54721 | 8 |
| 5569 | 54727 | 6 |
Questions
What is the 5566th prime number?
54709.
Which prime number is 54709?
54709 is the 5566th prime number.
What is the sum of the first 5566 primes?
143,687,611.