What is the 6649th prime number?
The 6649th prime number is 66713. The next prime is 66721 (a gap of 8) and the one before is 66701.
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 6649th one is 66713.
- 2
66713 is prime because no prime up to ā66713 ā 258.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6649th prime is close to 6649 Ć ln(6649) ā 58526, and here it is 66713.
- 4
66713 has no twin: neither 66711 nor 66715 is prime.
Primes around the 6649th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6646 | 66683 | 30 |
| 6647 | 66697 | 14 |
| 6648 | 66701 | 4 |
| 6649 | 66713 | 12 |
| 6650 | 66721 | 8 |
| 6651 | 66733 | 12 |
| 6652 | 66739 | 6 |
Questions
What is the 6649th prime number?
66713.
Which prime number is 66713?
66713 is the 6649th prime number.
What is the sum of the first 6649 primes?
209,359,178.