What is the 793rd prime number?
The 793rd prime number is 6079. The next prime is 6089 (a gap of 10) and the one before is 6073.
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 793rd one is 6079.
- 2
6079 is prime because no prime up to ā6079 ā 77.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 793rd prime is close to 793 Ć ln(793) ā 5294, and here it is 6079.
- 4
6079 has no twin: neither 6077 nor 6081 is prime.
Primes around the 793rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 790 | 6053 | 6 |
| 791 | 6067 | 14 |
| 792 | 6073 | 6 |
| 793 | 6079 | 6 |
| 794 | 6089 | 10 |
| 795 | 6091 | 2 |
| 796 | 6101 | 10 |
Questions
What is the 793rd prime number?
6079.
Which prime number is 6079?
6079 is the 793rd prime number.
What is the sum of the first 793 primes?
2,235,180.