What is the 695th prime number?
The 695th prime number is 5231. The next prime is 5233 (a gap of 2) and the one before is 5227.
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 695th one is 5231.
- 2
5231 is prime because no prime up to ā5231 ā 72.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 695th prime is close to 695 Ć ln(695) ā 4548, and here it is 5231.
- 4
5231 is a twin prime: 5231 and 5233 are both prime.
Primes around the 695th
| Position | Prime | Gap from the previous |
|---|---|---|
| 692 | 5197 | 8 |
| 693 | 5209 | 12 |
| 694 | 5227 | 18 |
| 695 | 5231 | 4 |
| 696 | 5233 | 2 |
| 697 | 5237 | 4 |
| 698 | 5261 | 24 |
Questions
What is the 695th prime number?
5231.
Which prime number is 5231?
5231 is the 695th prime number.
What is the sum of the first 695 primes?
1,681,006.