What is the 6646th prime number?
The 6646th prime number is 66683. The next prime is 66697 (a gap of 14) and the one before is 66653.
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 6646th one is 66683.
- 2
66683 is prime because no prime up to ā66683 ā 258.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6646th prime is close to 6646 Ć ln(6646) ā 58497, and here it is 66683.
- 4
66683 has no twin: neither 66681 nor 66685 is prime.
Primes around the 6646th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6643 | 66629 | 12 |
| 6644 | 66643 | 14 |
| 6645 | 66653 | 10 |
| 6646 | 66683 | 30 |
| 6647 | 66697 | 14 |
| 6648 | 66701 | 4 |
| 6649 | 66713 | 12 |
Questions
What is the 6646th prime number?
66683.
Which prime number is 66683?
66683 is the 6646th prime number.
What is the sum of the first 6646 primes?
209,159,067.