What is the 628th prime number?
The 628th prime number is 4649. The next prime is 4651 (a gap of 2) and the one before is 4643.
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 628th one is 4649.
- 2
4649 is prime because no prime up to ā4649 ā 68.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 628th prime is close to 628 Ć ln(628) ā 4046, and here it is 4649.
- 4
4649 is a twin prime: 4649 and 4651 are both prime.
Primes around the 628th
| Position | Prime | Gap from the previous |
|---|---|---|
| 625 | 4637 | 16 |
| 626 | 4639 | 2 |
| 627 | 4643 | 4 |
| 628 | 4649 | 6 |
| 629 | 4651 | 2 |
| 630 | 4657 | 6 |
| 631 | 4663 | 6 |
Questions
What is the 628th prime number?
4649.
Which prime number is 4649?
4649 is the 628th prime number.
What is the sum of the first 628 primes?
1,350,021.