What is the 5770th prime number?
The 5770th prime number is 56909. The next prime is 56911 (a gap of 2) and the one before is 56897.
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 5770th one is 56909.
- 2
56909 is prime because no prime up to ā56909 ā 238.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5770th prime is close to 5770 Ć ln(5770) ā 49971, and here it is 56909.
- 4
56909 is a twin prime: 56909 and 56911 are both prime.
Primes around the 5770th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5767 | 56891 | 18 |
| 5768 | 56893 | 2 |
| 5769 | 56897 | 4 |
| 5770 | 56909 | 12 |
| 5771 | 56911 | 2 |
| 5772 | 56921 | 10 |
| 5773 | 56923 | 2 |
Questions
What is the 5770th prime number?
56909.
Which prime number is 56909?
56909 is the 5770th prime number.
What is the sum of the first 5770 primes?
155,080,389.