What is the 6696th prime number?
The 6696th prime number is 67211. The next prime is 67213 (a gap of 2) and the one before is 67189.
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 6696th one is 67211.
- 2
67211 is prime because no prime up to ā67211 ā 259.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6696th prime is close to 6696 Ć ln(6696) ā 58987, and here it is 67211.
- 4
67211 is a twin prime: 67211 and 67213 are both prime.
Primes around the 6696th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6693 | 67181 | 12 |
| 6694 | 67187 | 6 |
| 6695 | 67189 | 2 |
| 6696 | 67211 | 22 |
| 6697 | 67213 | 2 |
| 6698 | 67217 | 4 |
| 6699 | 67219 | 2 |
Questions
What is the 6696th prime number?
67211.
Which prime number is 67211?
67211 is the 6696th prime number.
What is the sum of the first 6696 primes?
212,506,729.