What is the 5772nd prime number?
The 5772nd prime number is 56921. The next prime is 56923 (a gap of 2) and the one before is 56911.
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 5772nd one is 56921.
- 2
56921 is prime because no prime up to ā56921 ā 238.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5772nd prime is close to 5772 Ć ln(5772) ā 49990, and here it is 56921.
- 4
56921 is a twin prime: 56921 and 56923 are both prime.
Primes around the 5772nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5769 | 56897 | 4 |
| 5770 | 56909 | 12 |
| 5771 | 56911 | 2 |
| 5772 | 56921 | 10 |
| 5773 | 56923 | 2 |
| 5774 | 56929 | 6 |
| 5775 | 56941 | 12 |
Questions
What is the 5772nd prime number?
56921.
Which prime number is 56921?
56921 is the 5772nd prime number.
What is the sum of the first 5772 primes?
155,194,221.