What is the 6790th prime number?
The 6790th prime number is 68213. The next prime is 68219 (a gap of 6) and the one before is 68209.
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 6790th one is 68213.
- 2
68213 is prime because no prime up to ā68213 ā 261.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6790th prime is close to 6790 Ć ln(6790) ā 59910, and here it is 68213.
- 4
68213 has no twin: neither 68211 nor 68215 is prime.
Primes around the 6790th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6787 | 68171 | 10 |
| 6788 | 68207 | 36 |
| 6789 | 68209 | 2 |
| 6790 | 68213 | 4 |
| 6791 | 68219 | 6 |
| 6792 | 68227 | 8 |
| 6793 | 68239 | 12 |
Questions
What is the 6790th prime number?
68213.
Which prime number is 68213?
68213 is the 6790th prime number.
What is the sum of the first 6790 primes?
218,870,525.