What is the 6640th prime number?
The 6640th prime number is 66593. The next prime is 66601 (a gap of 8) and the one before is 66587.
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 6640th one is 66593.
- 2
66593 is prime because no prime up to ā66593 ā 258.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6640th prime is close to 6640 Ć ln(6640) ā 58438, and here it is 66593.
- 4
66593 has no twin: neither 66591 nor 66595 is prime.
Primes around the 6640th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6637 | 66569 | 16 |
| 6638 | 66571 | 2 |
| 6639 | 66587 | 16 |
| 6640 | 66593 | 6 |
| 6641 | 66601 | 8 |
| 6642 | 66617 | 16 |
| 6643 | 66629 | 12 |
Questions
What is the 6640th prime number?
66593.
Which prime number is 66593?
66593 is the 6640th prime number.
What is the sum of the first 6640 primes?
208,759,241.