What is the 690th prime number?
The 690th prime number is 5179. The next prime is 5189 (a gap of 10) and the one before is 5171.
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 690th one is 5179.
- 2
5179 is prime because no prime up to ā5179 ā 71.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 690th prime is close to 690 Ć ln(690) ā 4510, and here it is 5179.
- 4
5179 has no twin: neither 5177 nor 5181 is prime.
Primes around the 690th
| Position | Prime | Gap from the previous |
|---|---|---|
| 687 | 5153 | 6 |
| 688 | 5167 | 14 |
| 689 | 5171 | 4 |
| 690 | 5179 | 8 |
| 691 | 5189 | 10 |
| 692 | 5197 | 8 |
| 693 | 5209 | 12 |
Questions
What is the 690th prime number?
5179.
Which prime number is 5179?
5179 is the 690th prime number.
What is the sum of the first 690 primes?
1,654,953.