What is the 6650th prime number?
The 6650th prime number is 66721. The next prime is 66733 (a gap of 12) and the one before is 66713.
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 6650th one is 66721.
- 2
66721 is prime because no prime up to ā66721 ā 258.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6650th prime is close to 6650 Ć ln(6650) ā 58536, and here it is 66721.
- 4
66721 has no twin: neither 66719 nor 66723 is prime.
Primes around the 6650th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6647 | 66697 | 14 |
| 6648 | 66701 | 4 |
| 6649 | 66713 | 12 |
| 6650 | 66721 | 8 |
| 6651 | 66733 | 12 |
| 6652 | 66739 | 6 |
| 6653 | 66749 | 10 |
Questions
What is the 6650th prime number?
66721.
Which prime number is 66721?
66721 is the 6650th prime number.
What is the sum of the first 6650 primes?
209,425,899.