What is the 6801st prime number?
The 6801st prime number is 68389. The next prime is 68399 (a gap of 10) and the one before is 68371.
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 6801st one is 68389.
- 2
68389 is prime because no prime up to ā68389 ā 261.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6801st prime is close to 6801 Ć ln(6801) ā 60018, and here it is 68389.
- 4
68389 has no twin: neither 68387 nor 68391 is prime.
Primes around the 6801st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6798 | 68329 | 18 |
| 6799 | 68351 | 22 |
| 6800 | 68371 | 20 |
| 6801 | 68389 | 18 |
| 6802 | 68399 | 10 |
| 6803 | 68437 | 38 |
| 6804 | 68443 | 6 |
Questions
What is the 6801st prime number?
68389.
Which prime number is 68389?
68389 is the 6801st prime number.
What is the sum of the first 6801 primes?
219,621,782.