What is the 6799th prime number?
The 6799th prime number is 68351. The next prime is 68371 (a gap of 20) and the one before is 68329.
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 6799th one is 68351.
- 2
68351 is prime because no prime up to ā68351 ā 261.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6799th prime is close to 6799 Ć ln(6799) ā 59998, and here it is 68351.
- 4
68351 has no twin: neither 68349 nor 68353 is prime.
Primes around the 6799th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6796 | 68281 | 2 |
| 6797 | 68311 | 30 |
| 6798 | 68329 | 18 |
| 6799 | 68351 | 22 |
| 6800 | 68371 | 20 |
| 6801 | 68389 | 18 |
| 6802 | 68399 | 10 |
Questions
What is the 6799th prime number?
68351.
Which prime number is 68351?
68351 is the 6799th prime number.
What is the sum of the first 6799 primes?
219,485,022.