What is the 5771st prime number?
The 5771st prime number is 56911. The next prime is 56921 (a gap of 10) and the one before is 56909.
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 5771st one is 56911.
- 2
56911 is prime because no prime up to ā56911 ā 238.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5771st prime is close to 5771 Ć ln(5771) ā 49980, and here it is 56911.
- 4
56911 is a twin prime: 56909 and 56911 are both prime.
Primes around the 5771st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5768 | 56893 | 2 |
| 5769 | 56897 | 4 |
| 5770 | 56909 | 12 |
| 5771 | 56911 | 2 |
| 5772 | 56921 | 10 |
| 5773 | 56923 | 2 |
| 5774 | 56929 | 6 |
Questions
What is the 5771st prime number?
56911.
Which prime number is 56911?
56911 is the 5771st prime number.
What is the sum of the first 5771 primes?
155,137,300.