What is the 6653rd prime number?
The 6653rd prime number is 66749. The next prime is 66751 (a gap of 2) and the one before is 66739.
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 6653rd one is 66749.
- 2
66749 is prime because no prime up to ā66749 ā 258.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6653rd prime is close to 6653 Ć ln(6653) ā 58565, and here it is 66749.
- 4
66749 is a twin prime: 66749 and 66751 are both prime.
Primes around the 6653rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6650 | 66721 | 8 |
| 6651 | 66733 | 12 |
| 6652 | 66739 | 6 |
| 6653 | 66749 | 10 |
| 6654 | 66751 | 2 |
| 6655 | 66763 | 12 |
| 6656 | 66791 | 28 |
Questions
What is the 6653rd prime number?
66749.
Which prime number is 66749?
66749 is the 6653rd prime number.
What is the sum of the first 6653 primes?
209,626,120.