What is the 6633rd prime number?
The 6633rd prime number is 66529. The next prime is 66533 (a gap of 4) and the one before is 66523.
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 6633rd one is 66529.
- 2
66529 is prime because no prime up to ā66529 ā 257.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6633rd prime is close to 6633 Ć ln(6633) ā 58369, and here it is 66529.
- 4
66529 has no twin: neither 66527 nor 66531 is prime.
Primes around the 6633rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6630 | 66499 | 8 |
| 6631 | 66509 | 10 |
| 6632 | 66523 | 14 |
| 6633 | 66529 | 6 |
| 6634 | 66533 | 4 |
| 6635 | 66541 | 8 |
| 6636 | 66553 | 12 |
Questions
What is the 6633rd prime number?
66529.
Which prime number is 66529?
66529 is the 6633rd prime number.
What is the sum of the first 6633 primes?
208,293,294.