What is the 693rd prime number?
The 693rd prime number is 5209. The next prime is 5227 (a gap of 18) and the one before is 5197.
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 693rd one is 5209.
- 2
5209 is prime because no prime up to ā5209 ā 72.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 693rd prime is close to 693 Ć ln(693) ā 4533, and here it is 5209.
- 4
5209 has no twin: neither 5207 nor 5211 is prime.
Primes around the 693rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 690 | 5179 | 8 |
| 691 | 5189 | 10 |
| 692 | 5197 | 8 |
| 693 | 5209 | 12 |
| 694 | 5227 | 18 |
| 695 | 5231 | 4 |
| 696 | 5233 | 2 |
Questions
What is the 693rd prime number?
5209.
Which prime number is 5209?
5209 is the 693rd prime number.
What is the sum of the first 693 primes?
1,670,548.