What is the 672nd prime number?
The 672nd prime number is 5011. The next prime is 5021 (a gap of 10) and the one before is 5009.
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 672nd one is 5011.
- 2
5011 is prime because no prime up to ā5011 ā 70.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 672nd prime is close to 672 Ć ln(672) ā 4375, and here it is 5011.
- 4
5011 is a twin prime: 5009 and 5011 are both prime.
Primes around the 672nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 669 | 4999 | 6 |
| 670 | 5003 | 4 |
| 671 | 5009 | 6 |
| 672 | 5011 | 2 |
| 673 | 5021 | 10 |
| 674 | 5023 | 2 |
| 675 | 5039 | 16 |
Questions
What is the 672nd prime number?
5011.
Which prime number is 5011?
5011 is the 672nd prime number.
What is the sum of the first 672 primes?
1,563,159.