What is the 5690th prime number?
The 5690th prime number is 56087. The next prime is 56093 (a gap of 6) and the one before is 56081.
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 5690th one is 56087.
- 2
56087 is prime because no prime up to ā56087 ā 236.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5690th prime is close to 5690 Ć ln(5690) ā 49198, and here it is 56087.
- 4
56087 has no twin: neither 56085 nor 56089 is prime.
Primes around the 5690th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5687 | 56041 | 2 |
| 5688 | 56053 | 12 |
| 5689 | 56081 | 28 |
| 5690 | 56087 | 6 |
| 5691 | 56093 | 6 |
| 5692 | 56099 | 6 |
| 5693 | 56101 | 2 |
Questions
What is the 5690th prime number?
56087.
Which prime number is 56087?
56087 is the 5690th prime number.
What is the sum of the first 5690 primes?
150,559,697.