What is the 6643rd prime number?
The 6643rd prime number is 66629. The next prime is 66643 (a gap of 14) and the one before is 66617.
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 6643rd one is 66629.
- 2
66629 is prime because no prime up to ā66629 ā 258.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6643rd prime is close to 6643 Ć ln(6643) ā 58467, and here it is 66629.
- 4
66629 has no twin: neither 66627 nor 66631 is prime.
Primes around the 6643rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6640 | 66593 | 6 |
| 6641 | 66601 | 8 |
| 6642 | 66617 | 16 |
| 6643 | 66629 | 12 |
| 6644 | 66643 | 14 |
| 6645 | 66653 | 10 |
| 6646 | 66683 | 30 |
Questions
What is the 6643rd prime number?
66629.
Which prime number is 66629?
66629 is the 6643rd prime number.
What is the sum of the first 6643 primes?
208,959,088.