What is the 5689th prime number?
The 5689th prime number is 56081. The next prime is 56087 (a gap of 6) and the one before is 56053.
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 5689th one is 56081.
- 2
56081 is prime because no prime up to ā56081 ā 236.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5689th prime is close to 5689 Ć ln(5689) ā 49189, and here it is 56081.
- 4
56081 has no twin: neither 56079 nor 56083 is prime.
Primes around the 5689th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5686 | 56039 | 30 |
| 5687 | 56041 | 2 |
| 5688 | 56053 | 12 |
| 5689 | 56081 | 28 |
| 5690 | 56087 | 6 |
| 5691 | 56093 | 6 |
| 5692 | 56099 | 6 |
Questions
What is the 5689th prime number?
56081.
Which prime number is 56081?
56081 is the 5689th prime number.
What is the sum of the first 5689 primes?
150,503,610.