What is the 795th prime number?
The 795th prime number is 6091. The next prime is 6101 (a gap of 10) and the one before is 6089.
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 795th one is 6091.
- 2
6091 is prime because no prime up to ā6091 ā 78.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 795th prime is close to 795 Ć ln(795) ā 5309, and here it is 6091.
- 4
6091 is a twin prime: 6089 and 6091 are both prime.
Primes around the 795th
| Position | Prime | Gap from the previous |
|---|---|---|
| 792 | 6073 | 6 |
| 793 | 6079 | 6 |
| 794 | 6089 | 10 |
| 795 | 6091 | 2 |
| 796 | 6101 | 10 |
| 797 | 6113 | 12 |
| 798 | 6121 | 8 |
Questions
What is the 795th prime number?
6091.
Which prime number is 6091?
6091 is the 795th prime number.
What is the sum of the first 795 primes?
2,247,360.