What is the 6648th prime number?
The 6648th prime number is 66701. The next prime is 66713 (a gap of 12) and the one before is 66697.
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 6648th one is 66701.
- 2
66701 is prime because no prime up to ā66701 ā 258.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6648th prime is close to 6648 Ć ln(6648) ā 58516, and here it is 66701.
- 4
66701 has no twin: neither 66699 nor 66703 is prime.
Primes around the 6648th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6645 | 66653 | 10 |
| 6646 | 66683 | 30 |
| 6647 | 66697 | 14 |
| 6648 | 66701 | 4 |
| 6649 | 66713 | 12 |
| 6650 | 66721 | 8 |
| 6651 | 66733 | 12 |
Questions
What is the 6648th prime number?
66701.
Which prime number is 66701?
66701 is the 6648th prime number.
What is the sum of the first 6648 primes?
209,292,465.