What is the 6669th prime number?
The 6669th prime number is 66931. The next prime is 66943 (a gap of 12) and the one before is 66923.
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 6669th one is 66931.
- 2
66931 is prime because no prime up to ā66931 ā 258.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6669th prime is close to 6669 Ć ln(6669) ā 58722, and here it is 66931.
- 4
66931 has no twin: neither 66929 nor 66933 is prime.
Primes around the 6669th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6666 | 66889 | 6 |
| 6667 | 66919 | 30 |
| 6668 | 66923 | 4 |
| 6669 | 66931 | 8 |
| 6670 | 66943 | 12 |
| 6671 | 66947 | 4 |
| 6672 | 66949 | 2 |
Questions
What is the 6669th prime number?
66931.
Which prime number is 66931?
66931 is the 6669th prime number.
What is the sum of the first 6669 primes?
210,695,682.