What is the 6672nd prime number?
The 6672nd prime number is 66949. The next prime is 66959 (a gap of 10) and the one before is 66947.
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 6672nd one is 66949.
- 2
66949 is prime because no prime up to ā66949 ā 258.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6672nd prime is close to 6672 Ć ln(6672) ā 58751, and here it is 66949.
- 4
66949 is a twin prime: 66947 and 66949 are both prime.
Primes around the 6672nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6669 | 66931 | 8 |
| 6670 | 66943 | 12 |
| 6671 | 66947 | 4 |
| 6672 | 66949 | 2 |
| 6673 | 66959 | 10 |
| 6674 | 66973 | 14 |
| 6675 | 66977 | 4 |
Questions
What is the 6672nd prime number?
66949.
Which prime number is 66949?
66949 is the 6672nd prime number.
What is the sum of the first 6672 primes?
210,896,521.