What is the 696th prime number?
The 696th prime number is 5233. The next prime is 5237 (a gap of 4) and the one before is 5231.
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 696th one is 5233.
- 2
5233 is prime because no prime up to ā5233 ā 72.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 696th prime is close to 696 Ć ln(696) ā 4556, and here it is 5233.
- 4
5233 is a twin prime: 5231 and 5233 are both prime.
Primes around the 696th
| Position | Prime | Gap from the previous |
|---|---|---|
| 693 | 5209 | 12 |
| 694 | 5227 | 18 |
| 695 | 5231 | 4 |
| 696 | 5233 | 2 |
| 697 | 5237 | 4 |
| 698 | 5261 | 24 |
| 699 | 5273 | 12 |
Questions
What is the 696th prime number?
5233.
Which prime number is 5233?
5233 is the 696th prime number.
What is the sum of the first 696 primes?
1,686,239.