What is the 794th prime number?
The 794th prime number is 6089. The next prime is 6091 (a gap of 2) and the one before is 6079.
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 794th one is 6089.
- 2
6089 is prime because no prime up to ā6089 ā 78.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 794th prime is close to 794 Ć ln(794) ā 5302, and here it is 6089.
- 4
6089 is a twin prime: 6089 and 6091 are both prime.
Primes around the 794th
| Position | Prime | Gap from the previous |
|---|---|---|
| 791 | 6067 | 14 |
| 792 | 6073 | 6 |
| 793 | 6079 | 6 |
| 794 | 6089 | 10 |
| 795 | 6091 | 2 |
| 796 | 6101 | 10 |
| 797 | 6113 | 12 |
Questions
What is the 794th prime number?
6089.
Which prime number is 6089?
6089 is the 794th prime number.
What is the sum of the first 794 primes?
2,241,269.