What is the 773rd prime number?
The 773rd prime number is 5869. The next prime is 5879 (a gap of 10) and the one before is 5867.
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 773rd one is 5869.
- 2
5869 is prime because no prime up to ā5869 ā 76.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 773rd prime is close to 773 Ć ln(773) ā 5141, and here it is 5869.
- 4
5869 is a twin prime: 5867 and 5869 are both prime.
Primes around the 773rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 770 | 5857 | 6 |
| 771 | 5861 | 4 |
| 772 | 5867 | 6 |
| 773 | 5869 | 2 |
| 774 | 5879 | 10 |
| 775 | 5881 | 2 |
| 776 | 5897 | 16 |
Questions
What is the 773rd prime number?
5869.
Which prime number is 5869?
5869 is the 773rd prime number.
What is the sum of the first 773 primes?
2,115,464.