What is the 5696th prime number?
The 5696th prime number is 56131. The next prime is 56149 (a gap of 18) and the one before is 56123.
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 5696th one is 56131.
- 2
56131 is prime because no prime up to ā56131 ā 236.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5696th prime is close to 5696 Ć ln(5696) ā 49256, and here it is 56131.
- 4
56131 has no twin: neither 56129 nor 56133 is prime.
Primes around the 5696th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5693 | 56101 | 2 |
| 5694 | 56113 | 12 |
| 5695 | 56123 | 10 |
| 5696 | 56131 | 8 |
| 5697 | 56149 | 18 |
| 5698 | 56167 | 18 |
| 5699 | 56171 | 4 |
Questions
What is the 5696th prime number?
56131.
Which prime number is 56131?
56131 is the 5696th prime number.
What is the sum of the first 5696 primes?
150,896,357.