What is the 6668th prime number?
The 6668th prime number is 66923. The next prime is 66931 (a gap of 8) and the one before is 66919.
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 6668th one is 66923.
- 2
66923 is prime because no prime up to ā66923 ā 258.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6668th prime is close to 6668 Ć ln(6668) ā 58712, and here it is 66923.
- 4
66923 has no twin: neither 66921 nor 66925 is prime.
Primes around the 6668th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6665 | 66883 | 6 |
| 6666 | 66889 | 6 |
| 6667 | 66919 | 30 |
| 6668 | 66923 | 4 |
| 6669 | 66931 | 8 |
| 6670 | 66943 | 12 |
| 6671 | 66947 | 4 |
Questions
What is the 6668th prime number?
66923.
Which prime number is 66923?
66923 is the 6668th prime number.
What is the sum of the first 6668 primes?
210,628,751.