What is the 6671st prime number?
The 6671st prime number is 66947. The next prime is 66949 (a gap of 2) and the one before is 66943.
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 6671st one is 66947.
- 2
66947 is prime because no prime up to ā66947 ā 258.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6671st prime is close to 6671 Ć ln(6671) ā 58742, and here it is 66947.
- 4
66947 is a twin prime: 66947 and 66949 are both prime.
Primes around the 6671st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6668 | 66923 | 4 |
| 6669 | 66931 | 8 |
| 6670 | 66943 | 12 |
| 6671 | 66947 | 4 |
| 6672 | 66949 | 2 |
| 6673 | 66959 | 10 |
| 6674 | 66973 | 14 |
Questions
What is the 6671st prime number?
66947.
Which prime number is 66947?
66947 is the 6671st prime number.
What is the sum of the first 6671 primes?
210,829,572.