What is the 799th prime number?
The 799th prime number is 6131. The next prime is 6133 (a gap of 2) and the one before is 6121.
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 799th one is 6131.
- 2
6131 is prime because no prime up to ā6131 ā 78.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 799th prime is close to 799 Ć ln(799) ā 5340, and here it is 6131.
- 4
6131 is a twin prime: 6131 and 6133 are both prime.
Primes around the 799th
| Position | Prime | Gap from the previous |
|---|---|---|
| 796 | 6101 | 10 |
| 797 | 6113 | 12 |
| 798 | 6121 | 8 |
| 799 | 6131 | 10 |
| 800 | 6133 | 2 |
| 801 | 6143 | 10 |
| 802 | 6151 | 8 |
Questions
What is the 799th prime number?
6131.
Which prime number is 6131?
6131 is the 799th prime number.
What is the sum of the first 799 primes?
2,271,826.