What is the 629th prime number?
The 629th prime number is 4651. The next prime is 4657 (a gap of 6) and the one before is 4649.
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 629th one is 4651.
- 2
4651 is prime because no prime up to ā4651 ā 68.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 629th prime is close to 629 Ć ln(629) ā 4053, and here it is 4651.
- 4
4651 is a twin prime: 4649 and 4651 are both prime.
Primes around the 629th
| Position | Prime | Gap from the previous |
|---|---|---|
| 626 | 4639 | 2 |
| 627 | 4643 | 4 |
| 628 | 4649 | 6 |
| 629 | 4651 | 2 |
| 630 | 4657 | 6 |
| 631 | 4663 | 6 |
| 632 | 4673 | 10 |
Questions
What is the 629th prime number?
4651.
Which prime number is 4651?
4651 is the 629th prime number.
What is the sum of the first 629 primes?
1,354,672.