What is the 633rd prime number?
The 633rd prime number is 4679. The next prime is 4691 (a gap of 12) and the one before is 4673.
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 633rd one is 4679.
- 2
4679 is prime because no prime up to ā4679 ā 68.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 633rd prime is close to 633 Ć ln(633) ā 4083, and here it is 4679.
- 4
4679 has no twin: neither 4677 nor 4681 is prime.
Primes around the 633rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 630 | 4657 | 6 |
| 631 | 4663 | 6 |
| 632 | 4673 | 10 |
| 633 | 4679 | 6 |
| 634 | 4691 | 12 |
| 635 | 4703 | 12 |
| 636 | 4721 | 18 |
Questions
What is the 633rd prime number?
4679.
Which prime number is 4679?
4679 is the 633rd prime number.
What is the sum of the first 633 primes?
1,373,344.