What is the 6803rd prime number?
The 6803rd prime number is 68437. The next prime is 68443 (a gap of 6) and the one before is 68399.
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 6803rd one is 68437.
- 2
68437 is prime because no prime up to ā68437 ā 261.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6803rd prime is close to 6803 Ć ln(6803) ā 60037, and here it is 68437.
- 4
68437 has no twin: neither 68435 nor 68439 is prime.
Primes around the 6803rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6800 | 68371 | 20 |
| 6801 | 68389 | 18 |
| 6802 | 68399 | 10 |
| 6803 | 68437 | 38 |
| 6804 | 68443 | 6 |
| 6805 | 68447 | 4 |
| 6806 | 68449 | 2 |
Questions
What is the 6803rd prime number?
68437.
Which prime number is 68437?
68437 is the 6803rd prime number.
What is the sum of the first 6803 primes?
219,758,618.