What is the 5692nd prime number?
The 5692nd prime number is 56099. The next prime is 56101 (a gap of 2) and the one before is 56093.
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 5692nd one is 56099.
- 2
56099 is prime because no prime up to ā56099 ā 236.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5692nd prime is close to 5692 Ć ln(5692) ā 49218, and here it is 56099.
- 4
56099 is a twin prime: 56099 and 56101 are both prime.
Primes around the 5692nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5689 | 56081 | 28 |
| 5690 | 56087 | 6 |
| 5691 | 56093 | 6 |
| 5692 | 56099 | 6 |
| 5693 | 56101 | 2 |
| 5694 | 56113 | 12 |
| 5695 | 56123 | 10 |
Questions
What is the 5692nd prime number?
56099.
Which prime number is 56099?
56099 is the 5692nd prime number.
What is the sum of the first 5692 primes?
150,671,889.