What is the 5567th prime number?
The 5567th prime number is 54713. The next prime is 54721 (a gap of 8) and the one before is 54709.
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 5567th one is 54713.
- 2
54713 is prime because no prime up to ā54713 ā 233.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5567th prime is close to 5567 Ć ln(5567) ā 48013, and here it is 54713.
- 4
54713 has no twin: neither 54711 nor 54715 is prime.
Primes around the 5567th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5564 | 54673 | 6 |
| 5565 | 54679 | 6 |
| 5566 | 54709 | 30 |
| 5567 | 54713 | 4 |
| 5568 | 54721 | 8 |
| 5569 | 54727 | 6 |
| 5570 | 54751 | 24 |
Questions
What is the 5567th prime number?
54713.
Which prime number is 54713?
54713 is the 5567th prime number.
What is the sum of the first 5567 primes?
143,742,324.