What is the 6802nd prime number?
The 6802nd prime number is 68399. The next prime is 68437 (a gap of 38) and the one before is 68389.
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 6802nd one is 68399.
- 2
68399 is prime because no prime up to ā68399 ā 261.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6802nd prime is close to 6802 Ć ln(6802) ā 60027, and here it is 68399.
- 4
68399 has no twin: neither 68397 nor 68401 is prime.
Primes around the 6802nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6799 | 68351 | 22 |
| 6800 | 68371 | 20 |
| 6801 | 68389 | 18 |
| 6802 | 68399 | 10 |
| 6803 | 68437 | 38 |
| 6804 | 68443 | 6 |
| 6805 | 68447 | 4 |
Questions
What is the 6802nd prime number?
68399.
Which prime number is 68399?
68399 is the 6802nd prime number.
What is the sum of the first 6802 primes?
219,690,181.