What is the 674th prime number?
The 674th prime number is 5023. The next prime is 5039 (a gap of 16) and the one before is 5021.
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 674th one is 5023.
- 2
5023 is prime because no prime up to ā5023 ā 70.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 674th prime is close to 674 Ć ln(674) ā 4390, and here it is 5023.
- 4
5023 is a twin prime: 5021 and 5023 are both prime.
Primes around the 674th
| Position | Prime | Gap from the previous |
|---|---|---|
| 671 | 5009 | 6 |
| 672 | 5011 | 2 |
| 673 | 5021 | 10 |
| 674 | 5023 | 2 |
| 675 | 5039 | 16 |
| 676 | 5051 | 12 |
| 677 | 5059 | 8 |
Questions
What is the 674th prime number?
5023.
Which prime number is 5023?
5023 is the 674th prime number.
What is the sum of the first 674 primes?
1,573,203.