What is the 798th prime number?
The 798th prime number is 6121. The next prime is 6131 (a gap of 10) and the one before is 6113.
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 798th one is 6121.
- 2
6121 is prime because no prime up to ā6121 ā 78.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 798th prime is close to 798 Ć ln(798) ā 5332, and here it is 6121.
- 4
6121 has no twin: neither 6119 nor 6123 is prime.
Primes around the 798th
| Position | Prime | Gap from the previous |
|---|---|---|
| 795 | 6091 | 2 |
| 796 | 6101 | 10 |
| 797 | 6113 | 12 |
| 798 | 6121 | 8 |
| 799 | 6131 | 10 |
| 800 | 6133 | 2 |
| 801 | 6143 | 10 |
Questions
What is the 798th prime number?
6121.
Which prime number is 6121?
6121 is the 798th prime number.
What is the sum of the first 798 primes?
2,265,695.