What is the 673rd prime number?
The 673rd prime number is 5021. The next prime is 5023 (a gap of 2) and the one before is 5011.
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 673rd one is 5021.
- 2
5021 is prime because no prime up to ā5021 ā 70.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 673rd prime is close to 673 Ć ln(673) ā 4382, and here it is 5021.
- 4
5021 is a twin prime: 5021 and 5023 are both prime.
Primes around the 673rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 670 | 5003 | 4 |
| 671 | 5009 | 6 |
| 672 | 5011 | 2 |
| 673 | 5021 | 10 |
| 674 | 5023 | 2 |
| 675 | 5039 | 16 |
| 676 | 5051 | 12 |
Questions
What is the 673rd prime number?
5021.
Which prime number is 5021?
5021 is the 673rd prime number.
What is the sum of the first 673 primes?
1,568,180.