What is the 5688th prime number?
The 5688th prime number is 56053. The next prime is 56081 (a gap of 28) and the one before is 56041.
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 5688th one is 56053.
- 2
56053 is prime because no prime up to ā56053 ā 236.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5688th prime is close to 5688 Ć ln(5688) ā 49179, and here it is 56053.
- 4
56053 has no twin: neither 56051 nor 56055 is prime.
Primes around the 5688th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5685 | 56009 | 6 |
| 5686 | 56039 | 30 |
| 5687 | 56041 | 2 |
| 5688 | 56053 | 12 |
| 5689 | 56081 | 28 |
| 5690 | 56087 | 6 |
| 5691 | 56093 | 6 |
Questions
What is the 5688th prime number?
56053.
Which prime number is 56053?
56053 is the 5688th prime number.
What is the sum of the first 5688 primes?
150,447,529.