What is the 5693rd prime number?
The 5693rd prime number is 56101. The next prime is 56113 (a gap of 12) and the one before is 56099.
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 5693rd one is 56101.
- 2
56101 is prime because no prime up to ā56101 ā 236.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5693rd prime is close to 5693 Ć ln(5693) ā 49227, and here it is 56101.
- 4
56101 is a twin prime: 56099 and 56101 are both prime.
Primes around the 5693rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5690 | 56087 | 6 |
| 5691 | 56093 | 6 |
| 5692 | 56099 | 6 |
| 5693 | 56101 | 2 |
| 5694 | 56113 | 12 |
| 5695 | 56123 | 10 |
| 5696 | 56131 | 8 |
Questions
What is the 5693rd prime number?
56101.
Which prime number is 56101?
56101 is the 5693rd prime number.
What is the sum of the first 5693 primes?
150,727,990.