What is the 6791st prime number?
The 6791st prime number is 68219. The next prime is 68227 (a gap of 8) and the one before is 68213.
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 6791st one is 68219.
- 2
68219 is prime because no prime up to ā68219 ā 261.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6791st prime is close to 6791 Ć ln(6791) ā 59919, and here it is 68219.
- 4
68219 has no twin: neither 68217 nor 68221 is prime.
Primes around the 6791st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6788 | 68207 | 36 |
| 6789 | 68209 | 2 |
| 6790 | 68213 | 4 |
| 6791 | 68219 | 6 |
| 6792 | 68227 | 8 |
| 6793 | 68239 | 12 |
| 6794 | 68261 | 22 |
Questions
What is the 6791st prime number?
68219.
Which prime number is 68219?
68219 is the 6791st prime number.
What is the sum of the first 6791 primes?
218,938,744.