What is the 691st prime number?
The 691st prime number is 5189. The next prime is 5197 (a gap of 8) and the one before is 5179.
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 691st one is 5189.
- 2
5189 is prime because no prime up to ā5189 ā 72.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 691st prime is close to 691 Ć ln(691) ā 4518, and here it is 5189.
- 4
5189 has no twin: neither 5187 nor 5191 is prime.
Primes around the 691st
| Position | Prime | Gap from the previous |
|---|---|---|
| 688 | 5167 | 14 |
| 689 | 5171 | 4 |
| 690 | 5179 | 8 |
| 691 | 5189 | 10 |
| 692 | 5197 | 8 |
| 693 | 5209 | 12 |
| 694 | 5227 | 18 |
Questions
What is the 691st prime number?
5189.
Which prime number is 5189?
5189 is the 691st prime number.
What is the sum of the first 691 primes?
1,660,142.