What is the 630th prime number?
The 630th prime number is 4657. The next prime is 4663 (a gap of 6) and the one before is 4651.
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 630th one is 4657.
- 2
4657 is prime because no prime up to ā4657 ā 68.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 630th prime is close to 630 Ć ln(630) ā 4061, and here it is 4657.
- 4
4657 has no twin: neither 4655 nor 4659 is prime.
Primes around the 630th
| Position | Prime | Gap from the previous |
|---|---|---|
| 627 | 4643 | 4 |
| 628 | 4649 | 6 |
| 629 | 4651 | 2 |
| 630 | 4657 | 6 |
| 631 | 4663 | 6 |
| 632 | 4673 | 10 |
| 633 | 4679 | 6 |
Questions
What is the 630th prime number?
4657.
Which prime number is 4657?
4657 is the 630th prime number.
What is the sum of the first 630 primes?
1,359,329.