What is the 6644th prime number?
The 6644th prime number is 66643. The next prime is 66653 (a gap of 10) and the one before is 66629.
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 6644th one is 66643.
- 2
66643 is prime because no prime up to ā66643 ā 258.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6644th prime is close to 6644 Ć ln(6644) ā 58477, and here it is 66643.
- 4
66643 has no twin: neither 66641 nor 66645 is prime.
Primes around the 6644th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6641 | 66601 | 8 |
| 6642 | 66617 | 16 |
| 6643 | 66629 | 12 |
| 6644 | 66643 | 14 |
| 6645 | 66653 | 10 |
| 6646 | 66683 | 30 |
| 6647 | 66697 | 14 |
Questions
What is the 6644th prime number?
66643.
Which prime number is 66643?
66643 is the 6644th prime number.
What is the sum of the first 6644 primes?
209,025,731.