What is the 6695th prime number?
The 6695th prime number is 67189. The next prime is 67211 (a gap of 22) and the one before is 67187.
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 6695th one is 67189.
- 2
67189 is prime because no prime up to ā67189 ā 259.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6695th prime is close to 6695 Ć ln(6695) ā 58977, and here it is 67189.
- 4
67189 is a twin prime: 67187 and 67189 are both prime.
Primes around the 6695th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6692 | 67169 | 12 |
| 6693 | 67181 | 12 |
| 6694 | 67187 | 6 |
| 6695 | 67189 | 2 |
| 6696 | 67211 | 22 |
| 6697 | 67213 | 2 |
| 6698 | 67217 | 4 |
Questions
What is the 6695th prime number?
67189.
Which prime number is 67189?
67189 is the 6695th prime number.
What is the sum of the first 6695 primes?
212,439,518.