What is the 692nd prime number?
The 692nd prime number is 5197. The next prime is 5209 (a gap of 12) and the one before is 5189.
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 692nd one is 5197.
- 2
5197 is prime because no prime up to ā5197 ā 72.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 692nd prime is close to 692 Ć ln(692) ā 4525, and here it is 5197.
- 4
5197 has no twin: neither 5195 nor 5199 is prime.
Primes around the 692nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 689 | 5171 | 4 |
| 690 | 5179 | 8 |
| 691 | 5189 | 10 |
| 692 | 5197 | 8 |
| 693 | 5209 | 12 |
| 694 | 5227 | 18 |
| 695 | 5231 | 4 |
Questions
What is the 692nd prime number?
5197.
Which prime number is 5197?
5197 is the 692nd prime number.
What is the sum of the first 692 primes?
1,665,339.