What is the 694th prime number?
The 694th prime number is 5227. The next prime is 5231 (a gap of 4) and the one before is 5209.
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 694th one is 5227.
- 2
5227 is prime because no prime up to ā5227 ā 72.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 694th prime is close to 694 Ć ln(694) ā 4540, and here it is 5227.
- 4
5227 has no twin: neither 5225 nor 5229 is prime.
Primes around the 694th
| Position | Prime | Gap from the previous |
|---|---|---|
| 691 | 5189 | 10 |
| 692 | 5197 | 8 |
| 693 | 5209 | 12 |
| 694 | 5227 | 18 |
| 695 | 5231 | 4 |
| 696 | 5233 | 2 |
| 697 | 5237 | 4 |
Questions
What is the 694th prime number?
5227.
Which prime number is 5227?
5227 is the 694th prime number.
What is the sum of the first 694 primes?
1,675,775.