What is the 5773rd prime number?
The 5773rd prime number is 56923. The next prime is 56929 (a gap of 6) and the one before is 56921.
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 5773rd one is 56923.
- 2
56923 is prime because no prime up to ā56923 ā 238.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5773rd prime is close to 5773 Ć ln(5773) ā 50000, and here it is 56923.
- 4
56923 is a twin prime: 56921 and 56923 are both prime.
Primes around the 5773rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5770 | 56909 | 12 |
| 5771 | 56911 | 2 |
| 5772 | 56921 | 10 |
| 5773 | 56923 | 2 |
| 5774 | 56929 | 6 |
| 5775 | 56941 | 12 |
| 5776 | 56951 | 10 |
Questions
What is the 5773rd prime number?
56923.
Which prime number is 56923?
56923 is the 5773rd prime number.
What is the sum of the first 5773 primes?
155,251,144.