What is the 5667th prime number?
The 5667th prime number is 55829. The next prime is 55837 (a gap of 8) and the one before is 55823.
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 5667th one is 55829.
- 2
55829 is prime because no prime up to ā55829 ā 236.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5667th prime is close to 5667 Ć ln(5667) ā 48977, and here it is 55829.
- 4
55829 has no twin: neither 55827 nor 55831 is prime.
Primes around the 5667th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5664 | 55817 | 4 |
| 5665 | 55819 | 2 |
| 5666 | 55823 | 4 |
| 5667 | 55829 | 6 |
| 5668 | 55837 | 8 |
| 5669 | 55843 | 6 |
| 5670 | 55849 | 6 |
Questions
What is the 5667th prime number?
55829.
Which prime number is 55829?
55829 is the 5667th prime number.
What is the sum of the first 5667 primes?
149,272,782.