What is the 797th prime number?
The 797th prime number is 6113. The next prime is 6121 (a gap of 8) and the one before is 6101.
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 797th one is 6113.
- 2
6113 is prime because no prime up to ā6113 ā 78.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 797th prime is close to 797 Ć ln(797) ā 5325, and here it is 6113.
- 4
6113 has no twin: neither 6111 nor 6115 is prime.
Primes around the 797th
| Position | Prime | Gap from the previous |
|---|---|---|
| 794 | 6089 | 10 |
| 795 | 6091 | 2 |
| 796 | 6101 | 10 |
| 797 | 6113 | 12 |
| 798 | 6121 | 8 |
| 799 | 6131 | 10 |
| 800 | 6133 | 2 |
Questions
What is the 797th prime number?
6113.
Which prime number is 6113?
6113 is the 797th prime number.
What is the sum of the first 797 primes?
2,259,574.