What is the 791st prime number?
The 791st prime number is 6067. The next prime is 6073 (a gap of 6) and the one before is 6053.
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 791st one is 6067.
- 2
6067 is prime because no prime up to ā6067 ā 77.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 791st prime is close to 791 Ć ln(791) ā 5279, and here it is 6067.
- 4
6067 has no twin: neither 6065 nor 6069 is prime.
Primes around the 791st
| Position | Prime | Gap from the previous |
|---|---|---|
| 788 | 6043 | 6 |
| 789 | 6047 | 4 |
| 790 | 6053 | 6 |
| 791 | 6067 | 14 |
| 792 | 6073 | 6 |
| 793 | 6079 | 6 |
| 794 | 6089 | 10 |
Questions
What is the 791st prime number?
6067.
Which prime number is 6067?
6067 is the 791st prime number.
What is the sum of the first 791 primes?
2,223,028.