What is the 6796th prime number?
The 6796th prime number is 68281. The next prime is 68311 (a gap of 30) and the one before is 68279.
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 6796th one is 68281.
- 2
68281 is prime because no prime up to ā68281 ā 261.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6796th prime is close to 6796 Ć ln(6796) ā 59969, and here it is 68281.
- 4
68281 is a twin prime: 68279 and 68281 are both prime.
Primes around the 6796th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6793 | 68239 | 12 |
| 6794 | 68261 | 22 |
| 6795 | 68279 | 18 |
| 6796 | 68281 | 2 |
| 6797 | 68311 | 30 |
| 6798 | 68329 | 18 |
| 6799 | 68351 | 22 |
Questions
What is the 6796th prime number?
68281.
Which prime number is 68281?
68281 is the 6796th prime number.
What is the sum of the first 6796 primes?
219,280,031.