What is the 792nd prime number?
The 792nd prime number is 6073. The next prime is 6079 (a gap of 6) and the one before is 6067.
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 792nd one is 6073.
- 2
6073 is prime because no prime up to ā6073 ā 77.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 792nd prime is close to 792 Ć ln(792) ā 5286, and here it is 6073.
- 4
6073 has no twin: neither 6071 nor 6075 is prime.
Primes around the 792nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 789 | 6047 | 4 |
| 790 | 6053 | 6 |
| 791 | 6067 | 14 |
| 792 | 6073 | 6 |
| 793 | 6079 | 6 |
| 794 | 6089 | 10 |
| 795 | 6091 | 2 |
Questions
What is the 792nd prime number?
6073.
Which prime number is 6073?
6073 is the 792nd prime number.
What is the sum of the first 792 primes?
2,229,101.