What is the 6798th prime number?
The 6798th prime number is 68329. The next prime is 68351 (a gap of 22) and the one before is 68311.
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 6798th one is 68329.
- 2
68329 is prime because no prime up to ā68329 ā 261.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6798th prime is close to 6798 Ć ln(6798) ā 59988, and here it is 68329.
- 4
68329 has no twin: neither 68327 nor 68331 is prime.
Primes around the 6798th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6795 | 68279 | 18 |
| 6796 | 68281 | 2 |
| 6797 | 68311 | 30 |
| 6798 | 68329 | 18 |
| 6799 | 68351 | 22 |
| 6800 | 68371 | 20 |
| 6801 | 68389 | 18 |
Questions
What is the 6798th prime number?
68329.
Which prime number is 68329?
68329 is the 6798th prime number.
What is the sum of the first 6798 primes?
219,416,671.